119:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
Suma de los   primeros términos de una progresión :@0.108233:0.106238:0.525319:0.106238:0.525319:0.088555:0.108233:0.088555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.208002:0.106480:0.218274:0.106480:0.218274:0.088571:0.208002:0.088571:0.000000
aritmética:@0.108233:0.124343:0.191555:0.124343:0.191555:0.106661:0.108233:0.106661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de los   primeros términos de una progresión aritmética es::@0.108233:0.141051:0.592117:0.141051:0.592117:0.124553:0.108233:0.124553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.216947:0.141167:0.226310:0.141167:0.226310:0.124698:0.216947:0.124698:0.000000
S:@0.204174:0.165646:0.212054:0.165646:0.212054:0.149177:0.204174:0.149177:0.000000
n:@0.211977:0.168875:0.217436:0.168875:0.217436:0.159274:0.211977:0.159274:0.000000
 =   +   + … + :@0.217437:0.165529:0.338345:0.165529:0.338345:0.149032:0.217437:0.149032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.236529:0.165645:0.245738:0.165645:0.245738:0.149176:0.236529:0.149176:0.000000
0:@0.245832:0.168807:0.250785:0.168807:0.250785:0.159189:0.245832:0.159189:0.000000
u:@0.270222:0.165645:0.279431:0.165645:0.279431:0.149176:0.270222:0.149176:0.000000
1:@0.279528:0.168807:0.284481:0.168807:0.284481:0.159189:0.279528:0.159189:0.000000
u:@0.338441:0.165645:0.347650:0.165645:0.347650:0.149176:0.338441:0.149176:0.000000
n:@0.347591:0.168875:0.353050:0.168875:0.353050:0.159274:0.347591:0.159274:0.000000
–2:@0.353050:0.168807:0.364180:0.168807:0.364180:0.159189:0.353050:0.159189:0.000000:0.000000
 + :@0.364236:0.165529:0.383521:0.165529:0.383521:0.149032:0.364236:0.149032:0.000000:0.000000:0.000000
u:@0.383617:0.165645:0.392826:0.165645:0.392826:0.149176:0.383617:0.149176:0.000000
n:@0.392767:0.168875:0.398226:0.168875:0.398226:0.159274:0.392767:0.159274:0.000000
–1:@0.398226:0.168807:0.409357:0.168807:0.409357:0.159189:0.398226:0.159189:0.000000:0.000000
,     = 1, 2, …:@0.409974:0.165529:0.499827:0.165529:0.499827:0.149032:0.409974:0.149032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.425540:0.165645:0.434903:0.165645:0.434903:0.149176:0.425540:0.149176:0.000000
Observemos los siguientes resultados::@0.108241:0.192944:0.376217:0.192944:0.376217:0.176446:0.108241:0.176446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.108241:0.213967:0.117450:0.213967:0.117450:0.197498:0.108241:0.197498:0.000000
0:@0.117538:0.217132:0.122491:0.217132:0.122491:0.207514:0.117538:0.207514:0.000000
 + :@0.122548:0.213854:0.141832:0.213854:0.141832:0.197356:0.122548:0.197356:0.000000:0.000000:0.000000
u:@0.141929:0.213969:0.151138:0.213969:0.151138:0.197501:0.141929:0.197501:0.000000
n:@0.151079:0.217199:0.156538:0.217199:0.156538:0.207598:0.151079:0.207598:0.000000
–1:@0.156594:0.217132:0.167724:0.217132:0.167724:0.207514:0.156594:0.207514:0.000000:0.000000
 =   +   + (  – 1)  = 2  + (  – 1):@0.167779:0.213854:0.423833:0.213854:0.423833:0.197356:0.167779:0.197356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.187160:0.213969:0.196369:0.213969:0.196369:0.197501:0.187160:0.197501:0.000000
0:@0.196466:0.217132:0.201419:0.217132:0.201419:0.207514:0.196466:0.207514:0.000000
u:@0.220856:0.213969:0.230065:0.213969:0.230065:0.197501:0.220856:0.197501:0.000000
0:@0.230160:0.217132:0.235114:0.217132:0.235114:0.207514:0.230160:0.207514:0.000000
n:@0.260599:0.213969:0.269962:0.213969:0.269962:0.197501:0.260599:0.197501:0.000000
d:@0.303773:0.213969:0.312943:0.213969:0.312943:0.197501:0.303773:0.197501:0.000000
u:@0.341013:0.213969:0.350221:0.213969:0.350221:0.197501:0.341013:0.197501:0.000000
0:@0.350317:0.217132:0.355270:0.217132:0.355270:0.207514:0.350317:0.207514:0.000000
n:@0.380756:0.213969:0.390119:0.213969:0.390119:0.197501:0.380756:0.197501:0.000000
d,:@0.423929:0.213969:0.436086:0.213969:0.436086:0.197501:0.423929:0.197501:0.000000:0.000000
u:@0.108230:0.234877:0.117438:0.234877:0.117438:0.218408:0.108230:0.218408:0.000000
1:@0.117538:0.238046:0.122491:0.238046:0.122491:0.228427:0.117538:0.228427:0.000000
 + :@0.122548:0.234769:0.141832:0.234769:0.141832:0.218271:0.122548:0.218271:0.000000:0.000000:0.000000
u:@0.141929:0.234885:0.151138:0.234885:0.151138:0.218416:0.141929:0.218416:0.000000
n:@0.151079:0.238113:0.156538:0.238113:0.156538:0.228512:0.151079:0.228512:0.000000
–2:@0.156594:0.238046:0.167724:0.238046:0.167724:0.228427:0.156594:0.228427:0.000000:0.000000
 =   +   +   + (  – 2)  = 2  + (  – 1):@0.167779:0.234769:0.452480:0.234769:0.452480:0.218271:0.167779:0.218271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.187160:0.234885:0.196369:0.234885:0.196369:0.218416:0.187160:0.218416:0.000000
0:@0.196466:0.238046:0.201419:0.238046:0.201419:0.228427:0.196466:0.228427:0.000000
d:@0.220856:0.234885:0.230026:0.234885:0.230026:0.218416:0.220856:0.218416:0.000000
u:@0.249504:0.234885:0.258712:0.234885:0.258712:0.218416:0.249504:0.218416:0.000000
0:@0.258807:0.238046:0.263760:0.238046:0.263760:0.228427:0.258807:0.228427:0.000000
n:@0.289248:0.234885:0.298611:0.234885:0.298611:0.218416:0.289248:0.218416:0.000000
d:@0.332421:0.234885:0.341591:0.234885:0.341591:0.218416:0.332421:0.218416:0.000000
u:@0.369661:0.234885:0.378870:0.234885:0.378870:0.218416:0.369661:0.218416:0.000000
0:@0.378964:0.238046:0.383917:0.238046:0.383917:0.228427:0.378964:0.228427:0.000000
n:@0.409403:0.234885:0.418766:0.234885:0.418766:0.218416:0.409403:0.218416:0.000000
d,:@0.452576:0.234885:0.464732:0.234885:0.464732:0.218416:0.452576:0.218416:0.000000:0.000000
:@0.108229:0.254708:0.117861:0.254708:0.117861:0.241261:0.108229:0.241261:0.000000
u:@0.108229:0.273143:0.117438:0.273143:0.117438:0.256674:0.108229:0.256674:0.000000
n:@0.117384:0.276379:0.122843:0.276379:0.122843:0.266778:0.117384:0.266778:0.000000
–1:@0.122899:0.276312:0.134030:0.276312:0.134030:0.266693:0.122899:0.266693:0.000000:0.000000
 +   =   + (  – 1)  +   :@0.134085:0.273034:0.317182:0.273034:0.317182:0.256536:0.134085:0.256536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.153466:0.273149:0.162675:0.273149:0.162675:0.256681:0.153466:0.256681:0.000000
0:@0.162770:0.276312:0.167724:0.276312:0.167724:0.266693:0.162770:0.266693:0.000000
u:@0.187160:0.273149:0.196369:0.273149:0.196369:0.256681:0.187160:0.256681:0.000000
0:@0.196466:0.276312:0.201419:0.276312:0.201419:0.266693:0.196466:0.266693:0.000000
n:@0.226905:0.273149:0.236268:0.273149:0.236268:0.256681:0.226905:0.256681:0.000000
d:@0.270079:0.273149:0.279249:0.273149:0.279249:0.256681:0.270079:0.256681:0.000000
u = 2u:@0.298726:0.273149:0.349875:0.273149:0.349875:0.256681:0.298726:0.256681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.308029:0.276312:0.312982:0.276312:0.312982:0.266693:0.308029:0.266693:0.000000
0:@0.349970:0.276312:0.354923:0.276312:0.354923:0.266693:0.349970:0.266693:0.000000
 + (  – 1):@0.354979:0.273034:0.423486:0.273034:0.423486:0.256536:0.354979:0.256536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.380409:0.273149:0.389772:0.273149:0.389772:0.256681:0.380409:0.256681:0.000000
d,:@0.423583:0.273149:0.435739:0.273149:0.435739:0.256681:0.423583:0.256681:0.000000:0.000000
y de manera general, para 0 ≤   ≤   – 1 se tiene:@0.108230:0.297513:0.443501:0.297513:0.443501:0.281015:0.108230:0.281015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k n:@0.321111:0.297628:0.357811:0.297628:0.357811:0.281160:0.321111:0.281160:0.000000:0.000000:0.000000
u:@0.108230:0.318536:0.117438:0.318536:0.117438:0.302067:0.108230:0.302067:0.000000
n:@0.117384:0.321773:0.122843:0.321773:0.122843:0.312171:0.117384:0.312171:0.000000
–1–:@0.122899:0.321705:0.140207:0.321705:0.140207:0.312087:0.122899:0.312087:0.000000:0.000000:0.000000
k:@0.140263:0.321773:0.145070:0.321773:0.145070:0.312171:0.140263:0.312171:0.000000
 +   =   + (  – 1 –  )  +   + :@0.145127:0.318427:0.370516:0.318427:0.370516:0.301930:0.145127:0.301930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.164508:0.318543:0.173716:0.318543:0.173716:0.302074:0.164508:0.302074:0.000000
k:@0.173696:0.321773:0.178503:0.321773:0.178503:0.312171:0.173696:0.312171:0.000000
u:@0.197940:0.318543:0.207149:0.318543:0.207149:0.302074:0.197940:0.302074:0.000000
0:@0.207245:0.321705:0.212198:0.321705:0.212198:0.312087:0.207245:0.312087:0.000000
n:@0.237684:0.318543:0.247047:0.318543:0.247047:0.302074:0.237684:0.302074:0.000000
k d:@0.293881:0.318543:0.317442:0.318543:0.317442:0.302074:0.293881:0.302074:0.000000:0.000000:0.000000
u:@0.336919:0.318543:0.346128:0.318543:0.346128:0.302074:0.336919:0.302074:0.000000
0:@0.346223:0.321705:0.351176:0.321705:0.351176:0.312087:0.346223:0.312087:0.000000
kd = 2u:@0.370612:0.318543:0.424709:0.318543:0.424709:0.302074:0.370612:0.302074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.424805:0.321705:0.429758:0.321705:0.429758:0.312087:0.424805:0.312087:0.000000
 + (  – 1):@0.429814:0.318427:0.498321:0.318427:0.498321:0.301930:0.429814:0.301930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.455244:0.318543:0.464607:0.318543:0.464607:0.302074:0.455244:0.302074:0.000000
d.:@0.498417:0.318543:0.510574:0.318543:0.510574:0.302074:0.498417:0.302074:0.000000:0.000000
 :@0.108238:0.335778:0.112380:0.335778:0.112380:0.319280:0.108238:0.319280:0.000000
Luego, de la definición de   y de los resultados precedentes, tenemos::@0.108238:0.353129:0.595761:0.353129:0.595761:0.336631:0.108238:0.336631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.289387:0.353244:0.297267:0.353244:0.297267:0.336776:0.289387:0.336776:0.000000
n:@0.297188:0.356474:0.302647:0.356474:0.302647:0.346873:0.297188:0.346873:0.000000
2  = 2(  +   + … + :@0.108241:0.377608:0.265348:0.377607:0.265348:0.361109:0.108241:0.361110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.116737:0.377723:0.124616:0.377723:0.124616:0.361255:0.116737:0.361255:0.000000
n:@0.124531:0.380953:0.129990:0.380953:0.129990:0.371351:0.124531:0.371351:0.000000
u:@0.163530:0.377723:0.172739:0.377723:0.172739:0.361254:0.163530:0.361254:0.000000
0:@0.172835:0.380885:0.177788:0.380885:0.177788:0.371267:0.172835:0.371267:0.000000
u:@0.197225:0.377723:0.206434:0.377723:0.206434:0.361254:0.197225:0.361254:0.000000
1:@0.206529:0.380885:0.211483:0.380885:0.211483:0.371267:0.206529:0.371267:0.000000
u:@0.265444:0.377723:0.274653:0.377723:0.274653:0.361254:0.265444:0.361254:0.000000
n:@0.274593:0.380953:0.280051:0.380953:0.280051:0.371351:0.274593:0.371351:0.000000
–2:@0.280051:0.380885:0.291182:0.380885:0.291182:0.371267:0.280051:0.371267:0.000000:0.000000
 + :@0.291238:0.377607:0.310522:0.377607:0.310522:0.361109:0.291238:0.361109:0.000000:0.000000:0.000000
u:@0.310619:0.377723:0.319828:0.377723:0.319828:0.361254:0.310619:0.361254:0.000000
n:@0.319771:0.380953:0.325229:0.380953:0.325229:0.371351:0.319771:0.371351:0.000000
–1:@0.325229:0.380885:0.336360:0.380885:0.336360:0.371267:0.325229:0.371267:0.000000:0.000000
):@0.336416:0.377607:0.342369:0.377607:0.342369:0.361109:0.336416:0.361109:0.000000
= (  +   + … + :@0.108238:0.400308:0.230952:0.400304:0.230952:0.383806:0.108238:0.383810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.129141:0.400423:0.138350:0.400423:0.138350:0.383955:0.129141:0.383955:0.000000
0:@0.138441:0.403582:0.143394:0.403582:0.143394:0.393964:0.138441:0.393964:0.000000
u:@0.162831:0.400420:0.172040:0.400420:0.172040:0.383951:0.162831:0.383951:0.000000
1:@0.172135:0.403582:0.177088:0.403582:0.177088:0.393964:0.172135:0.393964:0.000000
u:@0.231048:0.400420:0.240257:0.400420:0.240257:0.383951:0.231048:0.383951:0.000000
n:@0.240198:0.403649:0.245657:0.403649:0.245657:0.394048:0.240198:0.394048:0.000000
–2:@0.245657:0.403582:0.256787:0.403582:0.256787:0.393964:0.245657:0.393964:0.000000:0.000000
 + :@0.256844:0.400304:0.276128:0.400304:0.276128:0.383806:0.256844:0.383806:0.000000:0.000000:0.000000
u:@0.276224:0.400420:0.285433:0.400420:0.285433:0.383951:0.276224:0.383951:0.000000
n:@0.285376:0.403649:0.290835:0.403649:0.290835:0.394048:0.285376:0.394048:0.000000
–1:@0.290835:0.403582:0.301965:0.403582:0.301965:0.393964:0.290835:0.393964:0.000000:0.000000
) + (  +   + … + :@0.302021:0.400304:0.435221:0.400304:0.435221:0.383806:0.302021:0.383806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.333405:0.400420:0.342613:0.400420:0.342613:0.383951:0.333405:0.383951:0.000000
0:@0.342708:0.403582:0.347661:0.403582:0.347661:0.393964:0.342708:0.393964:0.000000
u:@0.367098:0.400420:0.376307:0.400420:0.376307:0.383951:0.367098:0.383951:0.000000
1:@0.376402:0.403582:0.381355:0.403582:0.381355:0.393964:0.376402:0.393964:0.000000
u:@0.435317:0.400420:0.444526:0.400420:0.444526:0.383951:0.435317:0.383951:0.000000
n:@0.444467:0.403649:0.449926:0.403649:0.449926:0.394048:0.444467:0.394048:0.000000
–2:@0.449926:0.403582:0.461056:0.403582:0.461056:0.393964:0.449926:0.393964:0.000000:0.000000
 + :@0.461112:0.400304:0.480397:0.400304:0.480397:0.383806:0.461112:0.383806:0.000000:0.000000:0.000000
u:@0.480493:0.400420:0.489702:0.400420:0.489702:0.383951:0.480493:0.383951:0.000000
n:@0.489643:0.403649:0.495102:0.403649:0.495102:0.394048:0.489643:0.394048:0.000000
–1:@0.495102:0.403582:0.506232:0.403582:0.506232:0.393964:0.495102:0.393964:0.000000:0.000000
):@0.506288:0.400304:0.512241:0.400304:0.512241:0.383806:0.506288:0.383806:0.000000
= (  + :@0.108230:0.423004:0.162734:0.423001:0.162734:0.406503:0.108230:0.406507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.129133:0.423120:0.138341:0.423120:0.138341:0.406651:0.129133:0.406651:0.000000
0:@0.138441:0.426279:0.143394:0.426279:0.143394:0.416660:0.138441:0.416660:0.000000
u:@0.162831:0.423116:0.172040:0.423116:0.172040:0.406648:0.162831:0.406648:0.000000
n:@0.171981:0.426346:0.177440:0.426346:0.177440:0.416745:0.171981:0.416745:0.000000
–1:@0.177440:0.426279:0.188570:0.426279:0.188570:0.416660:0.177440:0.416660:0.000000:0.000000
) + (  + :@0.188626:0.423001:0.253703:0.423001:0.253703:0.406503:0.188626:0.406503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.220106:0.423116:0.229314:0.423116:0.229314:0.406648:0.220106:0.406648:0.000000
1:@0.229410:0.426279:0.234363:0.426279:0.234363:0.416660:0.229410:0.416660:0.000000
u:@0.253800:0.423116:0.263008:0.423116:0.263008:0.406648:0.253800:0.406648:0.000000
n:@0.262951:0.426346:0.268410:0.426346:0.268410:0.416745:0.262951:0.416745:0.000000
–2:@0.268410:0.426279:0.279541:0.426279:0.279541:0.416660:0.268410:0.416660:0.000000:0.000000
) + … + (:@0.279597:0.423001:0.345503:0.423001:0.345503:0.406503:0.279597:0.406503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.345503:0.423116:0.354712:0.423116:0.354712:0.406648:0.345503:0.406648:0.000000
n:@0.354652:0.426346:0.360111:0.426346:0.360111:0.416745:0.354652:0.416745:0.000000
–1:@0.360111:0.426279:0.371241:0.426279:0.371241:0.416660:0.360111:0.416660:0.000000:0.000000
+  ):@0.371298:0.423001:0.406706:0.423001:0.406706:0.406503:0.371298:0.406503:0.000000:0.000000:0.000000:0.000000
u:@0.386440:0.423116:0.395649:0.423116:0.395649:0.406648:0.386440:0.406648:0.000000
0:@0.395744:0.426279:0.400698:0.426279:0.400698:0.416660:0.395744:0.416660:0.000000
= 2  + ( – 1)  + 2  + ( – 1)  + … + 2  + ( – 1):@0.108230:0.445701:0.489142:0.445697:0.489142:0.429200:0.108230:0.429204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.131676:0.445817:0.140884:0.445817:0.140884:0.429348:0.131676:0.429348:0.000000
0:@0.140984:0.448975:0.145937:0.448975:0.145937:0.439357:0.140984:0.439357:0.000000
n :@0.171423:0.445813:0.185024:0.445813:0.185024:0.429344:0.171423:0.429344:0.000000:0.000000
d:@0.214597:0.445813:0.223767:0.445813:0.223767:0.429344:0.214597:0.429344:0.000000
u:@0.251740:0.445813:0.260949:0.445813:0.260949:0.429344:0.251740:0.429344:0.000000
0:@0.261043:0.448975:0.265997:0.448975:0.265997:0.439357:0.261043:0.439357:0.000000
n :@0.291482:0.445813:0.305084:0.445813:0.305084:0.429344:0.291482:0.429344:0.000000:0.000000
d:@0.334656:0.445813:0.343826:0.445813:0.343826:0.429344:0.334656:0.429344:0.000000
u:@0.406323:0.445813:0.415531:0.445813:0.415531:0.429344:0.406323:0.429344:0.000000
0:@0.415626:0.448975:0.420579:0.448975:0.420579:0.439357:0.415626:0.439357:0.000000
n :@0.446065:0.445813:0.459667:0.445813:0.459667:0.429344:0.446065:0.429344:0.000000:0.000000
d:@0.489239:0.445813:0.498409:0.445813:0.498409:0.429344:0.489239:0.429344:0.000000
=  [2  + ( – 1) ], de donde:@0.108230:0.468398:0.321210:0.468394:0.321210:0.451897:0.108230:0.451900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n u:@0.123180:0.468514:0.156297:0.468514:0.156297:0.452045:0.123180:0.452045:0.000000:0.000000:0.000000
0:@0.156396:0.471672:0.161349:0.471672:0.161349:0.462054:0.156396:0.462054:0.000000
n :@0.186835:0.468510:0.200437:0.468510:0.200437:0.452041:0.186835:0.452041:0.000000:0.000000
d:@0.230009:0.468510:0.239179:0.468510:0.239179:0.452041:0.230009:0.452041:0.000000
S:@0.108233:0.495461:0.116113:0.495461:0.116113:0.478993:0.108233:0.478993:0.000000
n:@0.116036:0.498690:0.121494:0.498690:0.121494:0.489089:0.116036:0.489089:0.000000
 =    (2  + ( – 1) ).:@0.121494:0.495346:0.283869:0.495346:0.283869:0.478848:0.121494:0.478848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.143460:0.489693:0.151956:0.489693:0.151956:0.473195:0.143460:0.473195:0.000000
2:@0.143460:0.506032:0.151956:0.506032:0.151956:0.489534:0.143460:0.489534:0.000000
n u:@0.158969:0.495462:0.192085:0.495462:0.192085:0.478993:0.158969:0.478993:0.000000:0.000000:0.000000
0:@0.192186:0.498622:0.197139:0.498622:0.197139:0.489004:0.192186:0.489004:0.000000
n :@0.222625:0.495461:0.236226:0.495461:0.236226:0.478993:0.222625:0.478993:0.000000:0.000000
d:@0.265799:0.495461:0.274969:0.495461:0.274969:0.478993:0.265799:0.478993:0.000000
Por otro lado, :@0.108228:0.527777:0.208561:0.527777:0.208561:0.511280:0.108228:0.511280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.208561:0.527893:0.217770:0.527893:0.217770:0.511424:0.208561:0.511424:0.000000
n:@0.217717:0.531128:0.223175:0.531128:0.223175:0.521527:0.217717:0.521527:0.000000
–1:@0.223175:0.531061:0.234306:0.531061:0.234306:0.521443:0.223175:0.521443:0.000000:0.000000
 =  + (  – 1) , entonces, :@0.234362:0.527784:0.420876:0.527784:0.420876:0.511286:0.234362:0.511286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.253454:0.527900:0.262663:0.527900:0.262663:0.511431:0.253454:0.511431:0.000000
0:@0.262759:0.531061:0.267712:0.531061:0.267712:0.521443:0.262759:0.521443:0.000000
n:@0.290356:0.527900:0.299719:0.527900:0.299719:0.511431:0.290356:0.511431:0.000000
d:@0.332951:0.527900:0.342122:0.527900:0.342122:0.511431:0.332951:0.511431:0.000000
2  + ( – 1)  =   +   + ( – 1)  =   +  . Luego,:@0.108241:0.552263:0.474773:0.552263:0.474773:0.535765:0.108241:0.535765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.116737:0.552379:0.125946:0.552379:0.125946:0.535910:0.116737:0.535910:0.000000
0:@0.126034:0.555539:0.130987:0.555539:0.130987:0.545921:0.126034:0.545921:0.000000
n :@0.156473:0.552378:0.170075:0.552378:0.170075:0.535909:0.156473:0.535909:0.000000:0.000000
d:@0.199647:0.552378:0.208817:0.552378:0.208817:0.535909:0.199647:0.535909:0.000000
u:@0.228294:0.552378:0.237503:0.552378:0.237503:0.535909:0.228294:0.535909:0.000000
0:@0.237598:0.555539:0.242552:0.555539:0.242552:0.545921:0.237598:0.545921:0.000000
u:@0.261988:0.552378:0.271197:0.552378:0.271197:0.535909:0.261988:0.535909:0.000000
0:@0.271293:0.555539:0.276246:0.555539:0.276246:0.545921:0.271293:0.545921:0.000000
n :@0.301732:0.552378:0.315333:0.552378:0.315333:0.535909:0.301732:0.535909:0.000000:0.000000
d:@0.344905:0.552378:0.354075:0.552378:0.354075:0.535909:0.344905:0.535909:0.000000
u:@0.373552:0.552378:0.382761:0.552378:0.382761:0.535909:0.373552:0.535909:0.000000
0:@0.382857:0.555539:0.387810:0.555539:0.387810:0.545921:0.382857:0.545921:0.000000
u:@0.407247:0.552378:0.416455:0.552378:0.416455:0.535909:0.407247:0.535909:0.000000
n:@0.416397:0.555607:0.421855:0.555607:0.421855:0.546005:0.416397:0.546005:0.000000
S:@0.108235:0.582887:0.116114:0.582887:0.116114:0.566418:0.108235:0.566418:0.000000
n:@0.116036:0.586121:0.121494:0.586121:0.121494:0.576520:0.116036:0.576520:0.000000
 =    (2  + ( – 1) ) =    (  + :@0.121494:0.582777:0.367990:0.582777:0.367990:0.566280:0.121494:0.566280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.143460:0.577124:0.151956:0.577124:0.151956:0.560627:0.143460:0.560627:0.000000
2:@0.143460:0.593463:0.151956:0.593463:0.151956:0.576965:0.143460:0.576965:0.000000
n u:@0.158969:0.582894:0.192085:0.582894:0.192085:0.566425:0.158969:0.566425:0.000000:0.000000:0.000000
0:@0.192186:0.586054:0.197139:0.586054:0.197139:0.576436:0.192186:0.576436:0.000000
n :@0.222627:0.582893:0.236228:0.582893:0.236228:0.566424:0.222627:0.566424:0.000000:0.000000
d:@0.265800:0.582893:0.274970:0.582893:0.274970:0.566424:0.265800:0.566424:0.000000
1:@0.303370:0.577124:0.311866:0.577124:0.311866:0.560627:0.303370:0.560627:0.000000
2:@0.303370:0.593463:0.311866:0.593463:0.311866:0.576965:0.303370:0.576965:0.000000
n u:@0.318975:0.582894:0.343596:0.582894:0.343596:0.566425:0.318975:0.566425:0.000000:0.000000:0.000000
0:@0.343696:0.586054:0.348650:0.586054:0.348650:0.576436:0.343696:0.576436:0.000000
u:@0.368086:0.582893:0.377295:0.582893:0.377295:0.566424:0.368086:0.566424:0.000000
n:@0.377236:0.586121:0.382695:0.586121:0.382695:0.576520:0.377236:0.576520:0.000000
–1:@0.382751:0.586054:0.393882:0.586054:0.393882:0.576436:0.382751:0.576436:0.000000:0.000000
) =   :@0.393938:0.582777:0.432970:0.582777:0.432970:0.566280:0.393938:0.566280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.419369:0.582893:0.428732:0.582893:0.428732:0.566424:0.419369:0.566424:0.000000
u:@0.436808:0.577240:0.446017:0.577240:0.446017:0.560771:0.436808:0.560771:0.000000
0:@0.446017:0.577886:0.450970:0.577886:0.450970:0.568268:0.446017:0.568268:0.000000
 + :@0.450970:0.577124:0.470062:0.577124:0.470062:0.560627:0.450970:0.560627:0.000000:0.000000:0.000000
u:@0.470062:0.577240:0.479271:0.577240:0.479271:0.560771:0.470062:0.560771:0.000000
n:@0.479270:0.577954:0.484729:0.577954:0.484729:0.568353:0.479270:0.568353:0.000000
–1:@0.484729:0.577886:0.495803:0.577886:0.495803:0.568268:0.484729:0.568268:0.000000:0.000000
2:@0.462057:0.593469:0.470553:0.593469:0.470553:0.576972:0.462057:0.576972:0.000000
.:@0.499644:0.582784:0.502399:0.582784:0.502399:0.566286:0.499644:0.566286:0.000000
Es decir que la suma de los   primeros términos  ,  , …, :@0.108231:0.617486:0.528778:0.617479:0.528778:0.600981:0.108231:0.600988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.310014:0.617601:0.319377:0.617601:0.319377:0.601133:0.310014:0.601133:0.000000
u u:@0.462205:0.617601:0.493717:0.617594:0.493717:0.601126:0.462205:0.601133:0.000000:0.000000:0.000000
0:@0.471485:0.620755:0.476439:0.620755:0.476439:0.611137:0.471485:0.611137:0.000000
1:@0.493811:0.620755:0.498764:0.620755:0.498764:0.611137:0.493811:0.611137:0.000000
u:@0.529895:0.617594:0.539104:0.617594:0.539104:0.601126:0.529895:0.601126:0.000000
n:@0.539039:0.620823:0.544498:0.620823:0.544498:0.611222:0.539039:0.611222:0.000000
–1:@0.544554:0.620755:0.555685:0.620755:0.555685:0.611137:0.544554:0.611137:0.000000:0.000000
 de la :@0.555742:0.617479:0.599917:0.617479:0.599917:0.600981:0.555742:0.600981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
progresión aritmética ( ) es igual a   veces la media aritmética de   :@0.108229:0.634830:0.599910:0.634830:0.599910:0.618332:0.108229:0.618332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.270192:0.634945:0.279401:0.634945:0.279401:0.618476:0.270192:0.618476:0.000000
n:@0.279354:0.638174:0.284812:0.638174:0.284812:0.628572:0.279354:0.628572:0.000000
n:@0.363028:0.634945:0.372391:0.634945:0.372391:0.618476:0.363028:0.618476:0.000000
u:@0.581571:0.634945:0.590780:0.634945:0.590780:0.618476:0.581571:0.618476:0.000000
0:@0.590814:0.638106:0.595768:0.638106:0.595768:0.628488:0.590814:0.628488:0.000000
y :@0.108241:0.652180:0.120205:0.652180:0.120205:0.635683:0.108241:0.635683:0.000000:0.000000
u:@0.120205:0.652296:0.129414:0.652296:0.129414:0.635827:0.120205:0.635827:0.000000
n:@0.129348:0.655524:0.134806:0.655524:0.134806:0.645923:0.129348:0.645923:0.000000
–1:@0.134862:0.655457:0.145993:0.655457:0.145993:0.645839:0.134862:0.645839:0.000000:0.000000
.:@0.146050:0.652180:0.148805:0.652180:0.148805:0.635683:0.146050:0.635683:0.000000
Particularmente, si   = 1 y   = 0, se tiene::@0.108232:0.679594:0.401544:0.679589:0.401544:0.663092:0.108232:0.663097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.242858:0.679710:0.252028:0.679710:0.252028:0.663241:0.242858:0.663241:0.000000
u:@0.295722:0.679710:0.304930:0.679710:0.304930:0.663241:0.295722:0.663241:0.000000
0:@0.305025:0.682866:0.309978:0.682866:0.309978:0.673248:0.305025:0.673248:0.000000
S:@0.108232:0.710213:0.116112:0.710213:0.116112:0.693745:0.108232:0.693745:0.000000
n:@0.116036:0.713448:0.121494:0.713448:0.121494:0.703847:0.116036:0.703847:0.000000
 = 1 + 2 + … +   =    ( + 1),  :@0.121494:0.710104:0.346957:0.710105:0.346957:0.693607:0.121494:0.693606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.229900:0.710220:0.239263:0.710220:0.239263:0.693751:0.229900:0.693751:0.000000
1:@0.261323:0.704451:0.269819:0.704451:0.269819:0.687954:0.261323:0.687954:0.000000
2:@0.261323:0.720790:0.269819:0.720790:0.269819:0.704292:0.261323:0.704292:0.000000
n n :@0.276832:0.710220:0.305941:0.710220:0.305941:0.693752:0.276832:0.693752:0.000000:0.000000:0.000000:0.000000
∀:@0.346961:0.717691:0.358534:0.717691:0.358534:0.698691:0.346961:0.698691:0.000000
n:@0.358633:0.710220:0.367996:0.710220:0.367996:0.693751:0.358633:0.693751:0.000000
    , fórmula que se conoce:@0.368092:0.710104:0.575910:0.710104:0.575910:0.693606:0.368092:0.693606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.372331:0.709585:0.386984:0.709585:0.386984:0.696212:0.372331:0.696212:0.000000
N:@0.391310:0.709135:0.406298:0.709135:0.406298:0.695689:0.391310:0.695689:0.000000
como suma de los   primeros números naturales.:@0.108226:0.734583:0.458216:0.734583:0.458216:0.718085:0.108226:0.718085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.242505:0.734699:0.251868:0.734699:0.251868:0.718230:0.242505:0.718230:0.000000
Ejercicio resuelto:@0.108226:0.763631:0.226205:0.763631:0.226205:0.746844:0.108226:0.746844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla la suma de los 10 primeros términos de la progresión aritmética :@0.108226:0.780606:0.599895:0.780606:0.599895:0.764108:0.108226:0.764108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente: 20, 17, 14, … :@0.108226:0.797957:0.268995:0.797957:0.268995:0.781459:0.108226:0.781459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ponemos   = 20,   = 17, entonces,   =   +  , con lo que:@0.108226:0.822855:0.523047:0.822845:0.523047:0.806347:0.108226:0.806357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.178853:0.822971:0.187830:0.822971:0.187830:0.806502:0.178853:0.806502:0.000000
0:@0.187933:0.826123:0.192886:0.826123:0.192886:0.816505:0.187933:0.816505:0.000000
a:@0.235922:0.822961:0.244900:0.822961:0.244900:0.806492:0.235922:0.806492:0.000000
1:@0.244996:0.826123:0.249949:0.826123:0.249949:0.816505:0.244996:0.816505:0.000000
a:@0.364844:0.822961:0.373821:0.822961:0.373821:0.806492:0.364844:0.806492:0.000000
1:@0.373916:0.826123:0.378869:0.826123:0.378869:0.816505:0.373916:0.816505:0.000000
a:@0.398017:0.822961:0.406994:0.822961:0.406994:0.806492:0.398017:0.806492:0.000000
0:@0.407091:0.826123:0.412044:0.826123:0.412044:0.816505:0.407091:0.816505:0.000000
d:@0.431192:0.822961:0.440362:0.822961:0.440362:0.806492:0.431192:0.806492:0.000000
d a:@0.108229:0.840311:0.145469:0.840311:0.145469:0.823843:0.108229:0.823843:0.000000:0.000000:0.000000
 =   –   = 17 – 20 = –3.:@0.117399:0.840196:0.296146:0.840196:0.296146:0.823698:0.117399:0.823698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.145569:0.843474:0.150522:0.843474:0.150522:0.833856:0.145569:0.833856:0.000000
a:@0.169362:0.840311:0.178339:0.840311:0.178339:0.823843:0.169362:0.823843:0.000000
0:@0.178436:0.843474:0.183389:0.843474:0.183389:0.833856:0.178436:0.833856:0.000000
Luego, para   = 10 se tiene:  :@0.108233:0.873394:0.308611:0.873394:0.308611:0.856896:0.108233:0.856896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.193713:0.873509:0.203076:0.873509:0.203076:0.857040:0.193713:0.857040:0.000000
S:@0.108233:0.904018:0.116113:0.904018:0.116113:0.887549:0.108233:0.887549:0.000000
10:@0.116113:0.907249:0.125525:0.907249:0.125525:0.897647:0.116113:0.897647:0.000000:0.000000
 =   (2  + ( – 1) ) =   (2 × 20 + 9 ×(–3)) = 65.:@0.125525:0.903903:0.489163:0.903904:0.489163:0.887406:0.125525:0.887406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.147058:0.898366:0.156421:0.898366:0.156421:0.881897:0.147058:0.881897:0.000000
2:@0.147482:0.914589:0.155978:0.914589:0.155978:0.898091:0.147482:0.898091:0.000000
u:@0.177440:0.904020:0.186649:0.904020:0.186649:0.887551:0.177440:0.887551:0.000000
0:@0.186758:0.907181:0.191711:0.907181:0.191711:0.897563:0.186758:0.897563:0.000000
n :@0.217197:0.904019:0.230799:0.904019:0.230799:0.887550:0.217197:0.887550:0.000000:0.000000
d:@0.260371:0.904019:0.269541:0.904019:0.269541:0.887550:0.260371:0.887550:0.000000
10:@0.296068:0.898250:0.313060:0.898250:0.313060:0.881753:0.296068:0.881753:0.000000:0.000000
2:@0.300306:0.914589:0.308802:0.914589:0.308802:0.898091:0.300306:0.898091:0.000000
La suma de los 10 primeros términos es 65.:@0.108212:0.931318:0.411657:0.931318:0.411657:0.914820:0.108212:0.914820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.093729:0.782426:0.093729:0.782426:0.078256:0.684804:0.078256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684804:0.106297:0.796762:0.106297:0.796762:0.090824:0.684804:0.090824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.678232:0.130771:0.814697:0.130771:0.814697:0.115708:0.678232:0.115708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definición::@0.638496:0.146613:0.706145:0.146613:0.706145:0.131550:0.638496:0.131550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean:@0.638496:0.169584:0.669226:0.169584:0.669226:0.154521:0.638496:0.154521:0.000000:0.000000:0.000000:0.000000
 :@0.669226:0.170007:0.672902:0.170007:0.672902:0.154534:0.669226:0.154534:0.000000
a, b:@0.672902:0.169690:0.695663:0.169690:0.695663:0.154653:0.672902:0.154653:0.000000:0.000000:0.000000:0.000000
 :@0.695663:0.169584:0.699445:0.169584:0.699445:0.154521:0.695663:0.154521:0.000000
 :@0.699445:0.169386:0.718495:0.169386:0.718495:0.156013:0.699445:0.156013:0.000000:0.000000
R:@0.718494:0.168700:0.731194:0.168700:0.731194:0.156422:0.718494:0.156422:0.000000
 no nulos  :@0.731194:0.169584:0.799389:0.169584:0.799389:0.154521:0.731194:0.154521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y   =   (  +  ).:@0.638495:0.189769:0.732407:0.189768:0.732407:0.174705:0.638495:0.174706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.649418:0.189875:0.655979:0.189875:0.655979:0.174838:0.649418:0.174838:0.000000
1:@0.674290:0.182520:0.682047:0.182520:0.682047:0.167457:0.674290:0.167457:0.000000
2:@0.674290:0.197610:0.682047:0.197610:0.682047:0.182547:0.674290:0.182547:0.000000
a b:@0.692126:0.189874:0.724457:0.189874:0.724457:0.174837:0.692126:0.174837:0.000000:0.000000:0.000000
Se dice que   es media aritméti-:@0.638494:0.212739:0.843661:0.212739:0.843661:0.197676:0.638494:0.197676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.716223:0.212845:0.722784:0.212845:0.722784:0.197808:0.716223:0.197808:0.000000
ca de   y  .:@0.638494:0.228581:0.710789:0.228581:0.710789:0.213518:0.638494:0.213518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.676911:0.228687:0.708274:0.228687:0.708274:0.213650:0.676911:0.213650:0.000000:0.000000:0.000000
Sea ( ) una progresión :@0.638494:0.251552:0.793739:0.251554:0.793739:0.236491:0.638494:0.236489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.669734:0.251658:0.678142:0.251658:0.678142:0.236621:0.669734:0.236621:0.000000
n:@0.678011:0.254608:0.682994:0.254608:0.682994:0.245842:0.678011:0.245842:0.000000
aritmética. De la definición de :@0.638509:0.267396:0.836534:0.267396:0.836534:0.252333:0.638509:0.252333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
progresión aritmética, existe :@0.638509:0.283238:0.823785:0.283238:0.823785:0.268175:0.638509:0.268175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.638509:0.299185:0.646882:0.299185:0.646882:0.284149:0.638509:0.284149:0.000000
 ≠ 0 tal que :@0.646882:0.299080:0.724505:0.299080:0.724505:0.284017:0.646882:0.284017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.724505:0.299185:0.732913:0.299185:0.732913:0.284149:0.724505:0.284149:0.000000
n:@0.732767:0.302134:0.737751:0.302134:0.737751:0.293368:0.732767:0.293368:0.000000
+1:@0.737751:0.302073:0.748027:0.302073:0.748027:0.293291:0.737751:0.293291:0.000000:0.000000
 =   +  , :@0.748027:0.299080:0.810811:0.299080:0.810811:0.284017:0.748027:0.284017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.765459:0.299185:0.773867:0.299185:0.773867:0.284149:0.765459:0.284149:0.000000
n:@0.773725:0.302134:0.778709:0.302134:0.778709:0.293368:0.773725:0.293368:0.000000
d:@0.796141:0.299185:0.804514:0.299185:0.804514:0.284149:0.796141:0.284149:0.000000
u:@0.638499:0.315027:0.646907:0.315027:0.646907:0.299991:0.638499:0.299991:0.000000
n:@0.646771:0.317976:0.651755:0.317976:0.651755:0.309210:0.646771:0.309210:0.000000
 = :@0.651755:0.314922:0.669186:0.314922:0.669186:0.299859:0.651755:0.299859:0.000000:0.000000:0.000000
u:@0.669186:0.315027:0.677594:0.315027:0.677594:0.299991:0.669186:0.299991:0.000000
n:@0.677453:0.317976:0.682437:0.317976:0.682437:0.309210:0.677453:0.309210:0.000000
–1:@0.682437:0.317915:0.692548:0.317915:0.692548:0.309133:0.682437:0.309133:0.000000:0.000000
 +  ,    = 1, 2, …, de :@0.692548:0.314922:0.822644:0.314922:0.822644:0.299859:0.692548:0.299859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d n:@0.709980:0.315027:0.736981:0.315027:0.736981:0.299991:0.709980:0.299991:0.000000:0.000000:0.000000
donde   = :@0.638512:0.330764:0.710912:0.330764:0.710912:0.315701:0.638512:0.315701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d u:@0.685108:0.330869:0.719320:0.330869:0.719320:0.315833:0.685108:0.315833:0.000000:0.000000:0.000000
n:@0.719170:0.333818:0.724153:0.333818:0.724153:0.325052:0.719170:0.325052:0.000000
+1:@0.724153:0.333757:0.734429:0.333757:0.734429:0.324975:0.724153:0.324975:0.000000:0.000000
 – :@0.734429:0.330764:0.751580:0.330764:0.751580:0.315701:0.734429:0.315701:0.000000:0.000000:0.000000
u:@0.751580:0.330869:0.759988:0.330869:0.759988:0.315833:0.751580:0.315833:0.000000
n:@0.759846:0.333818:0.764830:0.333818:0.764830:0.325052:0.759846:0.325052:0.000000
y   =   – :@0.638503:0.346606:0.705633:0.346606:0.705633:0.331543:0.638503:0.331543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d u:@0.649427:0.346711:0.683639:0.346711:0.683639:0.331675:0.649427:0.331675:0.000000:0.000000:0.000000
n:@0.683499:0.349660:0.688482:0.349660:0.688482:0.340894:0.683499:0.340894:0.000000
u:@0.705633:0.346711:0.714041:0.346711:0.714041:0.331675:0.705633:0.331675:0.000000
n:@0.713899:0.349660:0.718883:0.349660:0.718883:0.340894:0.713899:0.340894:0.000000
–1:@0.718883:0.349599:0.728994:0.349599:0.728994:0.340817:0.718883:0.340817:0.000000:0.000000
, con lo cual:@0.728995:0.346606:0.806143:0.346606:0.806143:0.331543:0.728995:0.331543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.638512:0.369682:0.646920:0.369682:0.646920:0.354646:0.638512:0.354646:0.000000
n:@0.646771:0.372630:0.651755:0.372630:0.651755:0.363864:0.646771:0.363864:0.000000
+1:@0.651755:0.372568:0.662030:0.372568:0.662030:0.363787:0.651755:0.363787:0.000000:0.000000
 –   =   – :@0.662030:0.369575:0.740263:0.369575:0.740263:0.354512:0.662030:0.354512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.679181:0.369681:0.687589:0.369681:0.687589:0.354644:0.679181:0.354644:0.000000
n:@0.687447:0.372630:0.692431:0.372630:0.692431:0.363864:0.687447:0.363864:0.000000
u:@0.709863:0.369681:0.718271:0.369681:0.718271:0.354644:0.709863:0.354644:0.000000
n:@0.718131:0.372630:0.723115:0.372630:0.723115:0.363864:0.718131:0.363864:0.000000
u:@0.740263:0.369681:0.748671:0.369681:0.748671:0.354644:0.740263:0.354644:0.000000
n:@0.748531:0.372630:0.753515:0.372630:0.753515:0.363864:0.748531:0.363864:0.000000
–1:@0.753515:0.372568:0.763627:0.372568:0.763627:0.363787:0.753515:0.363787:0.000000:0.000000
 :@0.763627:0.369575:0.767409:0.369575:0.767409:0.354512:0.763627:0.354512:0.000000
⇔:@0.767408:0.368975:0.784864:0.368975:0.784864:0.353573:0.767408:0.353573:0.000000
u:@0.638503:0.397182:0.646911:0.397182:0.646911:0.382145:0.638503:0.382145:0.000000
n:@0.646771:0.400131:0.651755:0.400131:0.651755:0.391365:0.646771:0.391365:0.000000
 = :@0.651755:0.397076:0.669186:0.397076:0.669186:0.382013:0.651755:0.382013:0.000000:0.000000:0.000000
1:@0.671244:0.391424:0.679001:0.391424:0.679001:0.376360:0.671244:0.376360:0.000000
2:@0.671244:0.406513:0.679001:0.406513:0.679001:0.391450:0.671244:0.391450:0.000000
 :@0.687819:0.397076:0.691601:0.397076:0.691601:0.382013:0.687819:0.382013:0.000000
u:@0.691601:0.397182:0.700009:0.397182:0.700009:0.382145:0.691601:0.382145:0.000000
n:@0.699869:0.400131:0.704853:0.400131:0.704853:0.391365:0.699869:0.391365:0.000000
–1:@0.704853:0.400069:0.714964:0.400069:0.714964:0.391288:0.704853:0.391288:0.000000:0.000000
 + :@0.714965:0.397076:0.732396:0.397076:0.732396:0.382013:0.714965:0.382013:0.000000:0.000000:0.000000
u:@0.732396:0.397182:0.740804:0.397182:0.740804:0.382145:0.732396:0.382145:0.000000
n:@0.740663:0.400131:0.745647:0.400131:0.745647:0.391365:0.740663:0.391365:0.000000
+1:@0.745647:0.400069:0.755922:0.400069:0.755922:0.391288:0.745647:0.391288:0.000000:0.000000
 .:@0.759962:0.397076:0.766259:0.397076:0.766259:0.382013:0.759962:0.382013:0.000000:0.000000
Por lo tanto, cualquier término :@0.638503:0.423612:0.841857:0.423612:0.841857:0.408549:0.638503:0.408549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la progresión aritmética, :@0.638503:0.439454:0.818200:0.439454:0.818200:0.424391:0.638503:0.424391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exceptuando el primero, es :@0.638503:0.455296:0.817022:0.455296:0.817022:0.440233:0.638503:0.440233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
media aritmética de dos de sus :@0.638503:0.471138:0.843194:0.471138:0.843194:0.456075:0.638503:0.456075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos contiguos.:@0.638503:0.486980:0.767311:0.486980:0.767311:0.471917:0.638503:0.471917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.512459:0.782426:0.512459:0.782426:0.496987:0.684804:0.496987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684804:0.525027:0.796762:0.525027:0.796762:0.509555:0.684804:0.509555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Otras formas de escribir :@0.678232:0.549502:0.837419:0.549502:0.837419:0.534438:0.678232:0.534438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los términos de una progresión :@0.638496:0.565344:0.843910:0.565344:0.843910:0.550280:0.638496:0.550280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aritmética son::@0.638496:0.581185:0.733603:0.581185:0.733603:0.566122:0.638496:0.566122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diferencia:@0.638496:0.604579:0.710437:0.604579:0.710437:0.589106:0.638496:0.589106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.710439:0.604156:0.712954:0.604156:0.712954:0.589093:0.710439:0.589093:0.000000
•  La diferencia d puede ser :@0.638496:0.619998:0.820093:0.619998:0.820093:0.604935:0.638496:0.604935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positiva, negativa o nula. Si es :@0.655118:0.635840:0.849170:0.635840:0.849170:0.620777:0.655118:0.620777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positiva la progresión es cre-:@0.655118:0.651682:0.838352:0.651682:0.838352:0.636619:0.655118:0.636619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciente, y decreciente cuando :@0.655118:0.667524:0.844331:0.667524:0.844331:0.652461:0.655118:0.652461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d es negativa.:@0.655118:0.683366:0.741992:0.683366:0.741992:0.668303:0.655118:0.668303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Se calcula restando dos :@0.638496:0.699208:0.810312:0.699208:0.810312:0.684145:0.638496:0.684145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos consecutivos.:@0.655118:0.715050:0.804171:0.715050:0.804171:0.699987:0.655118:0.699987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación y término n-ésimo:@0.638496:0.738444:0.836380:0.738444:0.836380:0.722971:0.638496:0.722971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.836380:0.738021:0.838895:0.738021:0.838895:0.722958:0.836380:0.722958:0.000000
 :@0.638495:0.753863:0.642277:0.753863:0.642277:0.738800:0.638495:0.738800:0.000000
a:@0.655118:0.753969:0.663315:0.753969:0.663315:0.738932:0.655118:0.738932:0.000000
 = primer término;:@0.663315:0.753863:0.783225:0.753863:0.783225:0.738800:0.663315:0.738800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638495:0.769705:0.642277:0.769705:0.642277:0.754642:0.638495:0.754642:0.000000
d:@0.655118:0.769811:0.663491:0.769811:0.663491:0.754774:0.655118:0.754774:0.000000
 = diferencia:@0.663491:0.769705:0.743438:0.769705:0.743438:0.754642:0.663491:0.754642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Término n-ésimo::@0.638495:0.785547:0.768977:0.785547:0.768977:0.770484:0.638495:0.770484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638495:0.801389:0.642277:0.801389:0.642277:0.786326:0.638495:0.786326:0.000000
u:@0.655118:0.801495:0.663526:0.801495:0.663526:0.786458:0.655118:0.786458:0.000000
n:@0.663391:0.804441:0.668375:0.804441:0.668375:0.795675:0.663391:0.795675:0.000000
 = a + (  – 1):@0.668375:0.801388:0.754724:0.801388:0.754724:0.786325:0.668375:0.786325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.715832:0.801494:0.724381:0.801494:0.724381:0.786457:0.715832:0.786457:0.000000
d   :@0.754724:0.801494:0.774442:0.801494:0.774442:0.786457:0.754724:0.786457:0.000000:0.000000:0.000000:0.000000
o  :@0.774442:0.801388:0.790713:0.801388:0.790713:0.786325:0.774442:0.786325:0.000000:0.000000:0.000000
  l =   + (  – 1):@0.638507:0.817230:0.746000:0.817230:0.746000:0.802167:0.638507:0.802167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.676045:0.817336:0.684242:0.817336:0.684242:0.802299:0.676045:0.802299:0.000000
n:@0.707109:0.817336:0.715657:0.817336:0.715657:0.802299:0.707109:0.802299:0.000000
d:@0.746000:0.817336:0.754373:0.817336:0.754373:0.802299:0.746000:0.802299:0.000000
Suma de los   primeros :@0.638508:0.840623:0.805627:0.840623:0.805627:0.825151:0.638508:0.825151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.725805:0.840834:0.734794:0.840834:0.734794:0.825164:0.725805:0.825164:0.000000
términos:@0.638508:0.856465:0.701988:0.856465:0.701988:0.840993:0.638508:0.840993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.701988:0.856043:0.704504:0.856043:0.704504:0.840980:0.701988:0.840980:0.000000
•  Se calcula con la siguiente :@0.638508:0.871885:0.826262:0.871885:0.826262:0.856822:0.638508:0.856822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fórmula::@0.655130:0.887727:0.708956:0.887727:0.708956:0.872664:0.655130:0.872664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.692763:0.915948:0.698592:0.915948:0.698592:0.894644:0.692763:0.894644:0.000000
):@0.780994:0.915948:0.786824:0.915948:0.786824:0.894644:0.780994:0.894644:0.000000
(:@0.729864:0.914760:0.735694:0.914760:0.735694:0.895823:0.729864:0.895823:0.000000
):@0.763634:0.914760:0.769463:0.914760:0.769463:0.895823:0.763634:0.895823:0.000000
=:@0.658347:0.912428:0.667958:0.912428:0.667958:0.897633:0.658347:0.897633:0.000000
+:@0.718323:0.912428:0.727934:0.912428:0.727934:0.897633:0.718323:0.897633:0.000000
1:@0.672527:0.903690:0.681070:0.903690:0.681070:0.888804:0.672527:0.888804:0.000000
2:@0.671775:0.922161:0.680318:0.922161:0.680318:0.907275:0.671775:0.907275:0.000000
2:@0.698875:0.911781:0.707418:0.911781:0.707418:0.896895:0.698875:0.896895:0.000000
–1:@0.747472:0.911781:0.766059:0.911784:0.766059:0.896898:0.747472:0.896895:0.000000:0.000000
S:@0.641344:0.911784:0.649012:0.911784:0.649012:0.897161:0.641344:0.897161:0.000000
n a:@0.682974:0.911784:0.716393:0.911784:0.716393:0.897161:0.682974:0.897161:0.000000:0.000000:0.000000
n:@0.736333:0.911784:0.745366:0.911784:0.745366:0.897161:0.736333:0.897161:0.000000
d:@0.770856:0.911784:0.779661:0.911784:0.779661:0.897161:0.770856:0.897161:0.000000
n:@0.648948:0.913688:0.654184:0.913688:0.654184:0.905213:0.648948:0.905213:0.000000
 que es :@0.789694:0.910747:0.838823:0.910747:0.838823:0.895684:0.789694:0.895684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equivalente a :@0.655130:0.934774:0.744786:0.934774:0.744786:0.919711:0.655130:0.919711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.747615:0.934805:0.755283:0.934805:0.755283:0.920181:0.747615:0.920181:0.000000
n:@0.778409:0.926711:0.787442:0.926711:0.787442:0.912088:0.778409:0.912088:0.000000
al:@0.796055:0.934805:0.821946:0.934805:0.821946:0.920181:0.796055:0.920181:0.000000:0.000000
n:@0.755224:0.936708:0.760459:0.936708:0.760459:0.928233:0.755224:0.928233:0.000000
(:@0.789590:0.937780:0.795419:0.937780:0.795419:0.918843:0.789590:0.918843:0.000000
):@0.823359:0.937780:0.829189:0.937780:0.829189:0.918843:0.823359:0.918843:0.000000
=:@0.764624:0.935449:0.774235:0.935449:0.774235:0.920654:0.764624:0.920654:0.000000
+:@0.806796:0.935449:0.816407:0.935449:0.816407:0.920654:0.806796:0.920654:0.000000
2:@0.778401:0.945184:0.786944:0.945184:0.786944:0.930298:0.778401:0.930298:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000