172:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Sucesiones y series:@0.073089:0.043661:0.242349:0.043661:0.242349:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos la suma de los   primeros términos::@0.293660:0.136836:0.638511:0.136836:0.638511:0.120402:0.293660:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.488206:0.136836:0.497705:0.136836:0.497705:0.120430:0.488206:0.120430:0.000000
S:@0.293660:0.164198:0.301723:0.164198:0.301723:0.147792:0.293660:0.147792:0.000000
n:@0.301656:0.167372:0.307193:0.167372:0.307193:0.157807:0.301656:0.157807:0.000000
 =   +   + ... + :@0.307154:0.164199:0.420588:0.164199:0.420588:0.147766:0.307154:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.325948:0.164199:0.335207:0.164199:0.335207:0.147793:0.325948:0.147793:0.000000
0:@0.335138:0.167372:0.340375:0.167372:0.340375:0.157791:0.335138:0.157791:0.000000
g:@0.359121:0.164199:0.368380:0.164199:0.368380:0.147793:0.359121:0.147793:0.000000
1:@0.368312:0.167372:0.373548:0.167372:0.373548:0.157791:0.368312:0.157791:0.000000
g:@0.420459:0.164199:0.429718:0.164199:0.429718:0.147793:0.420459:0.147793:0.000000
n:@0.429645:0.167372:0.435182:0.167372:0.435182:0.157807:0.429645:0.157807:0.000000
–1:@0.435139:0.167372:0.445699:0.167372:0.445699:0.157791:0.435139:0.157791:0.000000:0.000000
1 3:@0.416057:0.196512:0.448678:0.196512:0.448678:0.180079:0.416057:0.180079:0.000000:0.000000:0.000000
2 2:@0.416057:0.212905:0.448678:0.212905:0.448678:0.196471:0.416057:0.196471:0.000000:0.000000:0.000000
0:@0.455202:0.187478:0.461208:0.187478:0.461208:0.176876:0.455202:0.176876:0.000000
1 3:@0.581722:0.196512:0.614343:0.196512:0.614343:0.180079:0.581722:0.180079:0.000000:0.000000:0.000000
2 2:@0.581722:0.212905:0.614343:0.212905:0.614343:0.196471:0.581722:0.196471:0.000000:0.000000:0.000000
n:@0.620867:0.187478:0.626908:0.187478:0.626908:0.177044:0.620867:0.177044:0.000000
–1:@0.626908:0.187478:0.638768:0.187478:0.638768:0.176876:0.626908:0.176876:0.000000:0.000000
1 3:@0.481319:0.196512:0.513940:0.196512:0.513940:0.180079:0.481319:0.180079:0.000000:0.000000:0.000000
2 2:@0.481319:0.212905:0.513940:0.212905:0.513940:0.196471:0.481319:0.196471:0.000000:0.000000:0.000000
1:@0.520464:0.187478:0.526470:0.187478:0.526470:0.176876:0.520464:0.176876:0.000000
3:@0.757638:0.196512:0.766621:0.196512:0.766621:0.180079:0.757638:0.180079:0.000000
2:@0.757638:0.212905:0.766621:0.212905:0.766621:0.196471:0.757638:0.196471:0.000000
n:@0.773146:0.187478:0.779186:0.187478:0.779186:0.177044:0.773146:0.177044:0.000000
1:@0.656370:0.196512:0.665353:0.196512:0.665353:0.180079:0.656370:0.180079:0.000000
2:@0.656370:0.212905:0.665353:0.212905:0.665353:0.196471:0.656370:0.196471:0.000000
3:@0.684968:0.181054:0.693951:0.181054:0.693951:0.164621:0.684968:0.164621:0.000000
2:@0.684968:0.197447:0.693951:0.197447:0.693951:0.181013:0.684968:0.181013:0.000000
3:@0.684973:0.213478:0.693956:0.213478:0.693956:0.197044:0.684973:0.197044:0.000000
2:@0.684973:0.229870:0.693956:0.229870:0.693956:0.213437:0.684973:0.213437:0.000000
n:@0.700477:0.172020:0.706518:0.172020:0.706518:0.161586:0.700477:0.161586:0.000000
– 1:@0.704246:0.223569:0.728885:0.223569:0.728885:0.203160:0.704246:0.203160:0.000000:0.000000:0.000000
– 1:@0.705651:0.191133:0.730290:0.191133:0.730290:0.170724:0.705651:0.170724:0.000000:0.000000:0.000000
=         +        + ... +            =       :@0.397783:0.205593:0.666929:0.205593:0.666929:0.189160:0.397783:0.189160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.686643:0.205593:0.694632:0.205593:0.694632:0.189160:0.686643:0.189160:0.000000:0.000000
=:@0.726220:0.205593:0.737191:0.205593:0.737191:0.189160:0.726220:0.189160:0.000000
   – 1,      .:@0.756905:0.205593:0.847064:0.205593:0.847064:0.189160:0.756905:0.189160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.797289:0.205593:0.806787:0.205593:0.806787:0.189187:0.797289:0.189187:0.000000
∈:@0.810855:0.205992:0.825492:0.205992:0.825492:0.189140:0.810855:0.189140:0.000000
ℕ:@0.829540:0.206176:0.843861:0.206176:0.843861:0.188522:0.829540:0.188522:0.000000
2. Considera la fracción periódica   = 3,525252... Se trata de determinar un número:@0.293660:0.253671:0.926795:0.253671:0.926795:0.237237:0.293660:0.237237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.558701:0.253671:0.568015:0.253671:0.568015:0.237265:0.558701:0.237265:0.000000
racional   =     con  ,     :@0.323788:0.275208:0.514509:0.275209:0.514509:0.258775:0.323788:0.258774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.384863:0.275208:0.390146:0.275208:0.390146:0.258802:0.384863:0.258802:0.000000
a:@0.415292:0.266847:0.424551:0.266847:0.424551:0.250441:0.415292:0.250441:0.000000
b:@0.415292:0.283239:0.424551:0.283239:0.424551:0.266833:0.415292:0.266833:0.000000
a b:@0.466446:0.275209:0.491958:0.275209:0.491958:0.258803:0.466446:0.258803:0.000000:0.000000:0.000000
∈:@0.495840:0.275608:0.510477:0.275608:0.510477:0.258756:0.495840:0.258756:0.000000
ℤ:@0.514527:0.275792:0.526805:0.275792:0.526805:0.258138:0.514527:0.258138:0.000000
+:@0.526796:0.266624:0.533192:0.266624:0.533192:0.257043:0.526796:0.257043:0.000000
, tal que:@0.533145:0.275209:0.590447:0.275209:0.590447:0.258775:0.533145:0.258775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.323781:0.302571:0.329064:0.302571:0.329064:0.286165:0.323781:0.286165:0.000000
 = 0,525252... En primer lugar, al número   = 0,525252... lo expresamos como::@0.328990:0.302571:0.880188:0.302571:0.880188:0.286137:0.328990:0.286137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.622733:0.302571:0.628016:0.302571:0.628016:0.286165:0.622733:0.286165:0.000000
52:@0.455890:0.326469:0.473782:0.326469:0.473782:0.310035:0.455890:0.310035:0.000000:0.000000
10:@0.453313:0.342861:0.471205:0.342861:0.471205:0.326427:0.453313:0.326427:0.000000:0.000000
2:@0.471116:0.336795:0.476353:0.336795:0.476353:0.327214:0.471116:0.327214:0.000000
1:@0.690531:0.326469:0.699513:0.326469:0.699513:0.310035:0.690531:0.310035:0.000000
10:@0.683499:0.342861:0.701391:0.342861:0.701391:0.326427:0.683499:0.326427:0.000000:0.000000
2:@0.701305:0.336795:0.706542:0.336795:0.706542:0.327214:0.701305:0.327214:0.000000
1:@0.735178:0.326469:0.744161:0.326469:0.744161:0.310035:0.735178:0.310035:0.000000
10:@0.728147:0.342861:0.746038:0.342861:0.746038:0.326427:0.728147:0.326427:0.000000:0.000000
4:@0.745953:0.336795:0.751190:0.336795:0.751190:0.327214:0.745953:0.327214:0.000000
52:@0.498924:0.326469:0.516816:0.326469:0.516816:0.310035:0.498924:0.310035:0.000000:0.000000
10:@0.496347:0.342861:0.514239:0.342861:0.514239:0.326427:0.496347:0.326427:0.000000:0.000000
4:@0.514149:0.336795:0.519386:0.336795:0.519386:0.327214:0.514149:0.327214:0.000000
52:@0.542771:0.326469:0.560662:0.326469:0.560662:0.310035:0.542771:0.310035:0.000000:0.000000
10:@0.540193:0.342861:0.558085:0.342861:0.558085:0.326427:0.540193:0.326427:0.000000:0.000000
6:@0.557997:0.336795:0.563234:0.336795:0.563234:0.327214:0.557997:0.327214:0.000000
52:@0.620866:0.326469:0.638758:0.326469:0.638758:0.310035:0.620866:0.310035:0.000000:0.000000
10:@0.618289:0.342861:0.636181:0.342861:0.636181:0.326427:0.618289:0.326427:0.000000:0.000000
2:@0.636092:0.336795:0.641329:0.336795:0.641329:0.327214:0.636092:0.327214:0.000000
r:@0.323781:0.334432:0.329064:0.334432:0.329064:0.318025:0.323781:0.318025:0.000000
 = 0,525252 ... =         +         +        + ... =           1 +:@0.328997:0.334432:0.663718:0.334432:0.663718:0.317998:0.328997:0.317998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  +:@0.685238:0.334432:0.704846:0.334432:0.704846:0.317998:0.685238:0.317998:0.000000:0.000000:0.000000
  + ...:@0.730684:0.334432:0.763638:0.334432:0.763638:0.317998:0.730684:0.317998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ponemos   = :@0.293655:0.384829:0.394196:0.384829:0.394196:0.368395:0.293655:0.368395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.366124:0.384829:0.375383:0.384829:0.375383:0.368422:0.366124:0.368422:0.000000
1:@0.402765:0.376127:0.411748:0.376127:0.411748:0.359693:0.402765:0.359693:0.000000
10:@0.395733:0.392519:0.413625:0.392519:0.413625:0.376085:0.395733:0.376085:0.000000:0.000000
2:@0.413538:0.386453:0.418775:0.386453:0.418775:0.376872:0.413538:0.376872:0.000000
  . Se define:   =  :@0.420319:0.384827:0.540463:0.384827:0.540463:0.368393:0.420319:0.368393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.509631:0.384827:0.517693:0.384827:0.517693:0.368421:0.509631:0.368421:0.000000
1:@0.554856:0.377357:0.563838:0.377357:0.563838:0.360924:0.554856:0.360924:0.000000
1 – :@0.541566:0.393750:0.567954:0.393750:0.567954:0.377316:0.541566:0.377316:0.000000:0.000000:0.000000:0.000000
d:@0.567851:0.393750:0.577110:0.393750:0.577110:0.377344:0.567851:0.377344:0.000000
   =  :@0.578233:0.384832:0.608991:0.384832:0.608991:0.368399:0.578233:0.368399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.635225:0.377357:0.644208:0.377357:0.644208:0.360924:0.635225:0.360924:0.000000
1:@0.650138:0.395226:0.659121:0.395226:0.659121:0.378792:0.650138:0.378792:0.000000
10:@0.643107:0.411618:0.660999:0.411618:0.660999:0.395184:0.643107:0.395184:0.000000:0.000000
2:@0.660913:0.405552:0.666150:0.405552:0.666150:0.395971:0.660913:0.395971:0.000000
1 –:@0.615024:0.402741:0.637094:0.402741:0.637094:0.386307:0.615024:0.386307:0.000000:0.000000:0.000000
= :@0.682339:0.384824:0.697268:0.384824:0.697268:0.368390:0.682339:0.368390:0.000000:0.000000
100:@0.697997:0.378251:0.724798:0.378251:0.724798:0.361817:0.697997:0.361817:0.000000:0.000000:0.000000
99:@0.702452:0.394643:0.720344:0.394643:0.720344:0.378210:0.702452:0.378210:0.000000:0.000000
 .:@0.725534:0.384825:0.732695:0.384825:0.732695:0.368391:0.725534:0.368391:0.000000:0.000000
Para     :@0.293645:0.426485:0.363173:0.426485:0.363173:0.410051:0.293645:0.410051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.329779:0.426485:0.339277:0.426485:0.339277:0.410079:0.329779:0.410079:0.000000
∈:@0.344322:0.426883:0.358958:0.426883:0.358958:0.410031:0.344322:0.410031:0.000000
ℤ:@0.364185:0.427067:0.376463:0.427067:0.376463:0.409413:0.364185:0.409413:0.000000
+:@0.376658:0.417900:0.383054:0.417900:0.383054:0.408318:0.376658:0.408318:0.000000
, la suma de los   + 1 primeros términos de la progresión geométrica de :@0.383104:0.426485:0.931079:0.426485:0.931079:0.410051:0.383104:0.410051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.503966:0.426485:0.513464:0.426485:0.513464:0.410079:0.503966:0.410079:0.000000
constante   está dada como::@0.293663:0.443127:0.502862:0.443127:0.502862:0.426693:0.293663:0.426693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.370035:0.443127:0.379294:0.443127:0.379294:0.426721:0.370035:0.426721:0.000000
S:@0.293645:0.478962:0.301707:0.478962:0.301707:0.462556:0.293645:0.462556:0.000000
n:@0.301656:0.482132:0.307193:0.482132:0.307193:0.472567:0.301656:0.472567:0.000000
 = 1 +   +   + ...   = :@0.307154:0.478960:0.461692:0.478960:0.461692:0.462526:0.307154:0.462526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.353633:0.478960:0.362891:0.478960:0.362891:0.462553:0.353633:0.462553:0.000000
d:@0.381612:0.478960:0.390871:0.478960:0.390871:0.462553:0.381612:0.462553:0.000000
2:@0.390815:0.472896:0.396052:0.472896:0.396052:0.463315:0.390815:0.463315:0.000000
d:@0.428108:0.478960:0.437367:0.478960:0.437367:0.462553:0.428108:0.462553:0.000000
n:@0.437307:0.472896:0.442844:0.472896:0.442844:0.463331:0.437307:0.463331:0.000000
d:@0.466312:0.471491:0.475571:0.471491:0.475571:0.455085:0.466312:0.455085:0.000000
n:@0.475504:0.465427:0.481041:0.465427:0.481041:0.455862:0.475504:0.455862:0.000000
+1:@0.480998:0.465427:0.492588:0.465427:0.492588:0.455846:0.480998:0.455846:0.000000:0.000000
 – 1:@0.492540:0.471491:0.518568:0.471491:0.518568:0.455057:0.492540:0.455057:0.000000:0.000000:0.000000:0.000000
d:@0.474833:0.487883:0.484092:0.487883:0.484092:0.471477:0.474833:0.471477:0.000000
 – 1:@0.484018:0.487883:0.510046:0.487883:0.510046:0.471449:0.484018:0.471449:0.000000:0.000000:0.000000:0.000000
= :@0.535043:0.478966:0.549971:0.478966:0.549971:0.462532:0.535043:0.462532:0.000000:0.000000
1:@0.564356:0.471491:0.573338:0.471491:0.573338:0.455057:0.564356:0.455057:0.000000
1 – :@0.551065:0.487883:0.577454:0.487883:0.577454:0.471449:0.551065:0.471449:0.000000:0.000000:0.000000:0.000000
d:@0.577351:0.487883:0.586610:0.487883:0.586610:0.471477:0.577351:0.471477:0.000000
  –  :@0.587733:0.478966:0.612767:0.478966:0.612767:0.462532:0.587733:0.462532:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.618501:0.470597:0.627760:0.470597:0.627760:0.454191:0.618501:0.454191:0.000000
n:@0.627693:0.464533:0.633231:0.464533:0.633231:0.454968:0.627693:0.454968:0.000000
+1:@0.633188:0.464533:0.644778:0.464533:0.644778:0.454952:0.633188:0.454952:0.000000:0.000000
1 – :@0.613863:0.486987:0.640251:0.486987:0.640251:0.470553:0.613863:0.470553:0.000000:0.000000:0.000000:0.000000
d:@0.640148:0.486987:0.649407:0.486987:0.649407:0.470581:0.640148:0.470581:0.000000
 .:@0.650530:0.478957:0.657690:0.478957:0.657690:0.462523:0.650530:0.462523:0.000000:0.000000
Entonces, :@0.293650:0.520728:0.367688:0.520728:0.367688:0.504294:0.293650:0.504294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.367555:0.520728:0.376814:0.520728:0.376814:0.504322:0.367555:0.504322:0.000000
n:@0.376761:0.514671:0.382298:0.514671:0.382298:0.505106:0.376761:0.505106:0.000000
+1:@0.382255:0.514671:0.393845:0.514671:0.393845:0.505090:0.382255:0.505090:0.000000:0.000000
 =  :@0.393797:0.520734:0.416641:0.520734:0.416641:0.504301:0.393797:0.504301:0.000000:0.000000:0.000000:0.000000
1:@0.431909:0.512841:0.440891:0.512841:0.440891:0.496407:0.431909:0.496407:0.000000
10:@0.424877:0.529233:0.442769:0.529233:0.442769:0.512799:0.424877:0.512799:0.000000:0.000000
2:@0.442684:0.523167:0.447920:0.523167:0.447920:0.513586:0.442684:0.513586:0.000000
n:@0.452055:0.504650:0.458095:0.504650:0.458095:0.494215:0.452055:0.494215:0.000000
+1:@0.458095:0.504650:0.471079:0.504650:0.471079:0.494048:0.458095:0.494048:0.000000:0.000000
  =  :@0.473405:0.520734:0.500206:0.520734:0.500206:0.504301:0.473405:0.504301:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.521696:0.512372:0.530679:0.512372:0.530679:0.495938:0.521696:0.495938:0.000000
10:@0.503252:0.528764:0.521144:0.528764:0.521144:0.512330:0.503252:0.512330:0.000000:0.000000
2( +1):@0.521048:0.522698:0.549122:0.522698:0.549122:0.513117:0.521048:0.513117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.529140:0.522698:0.534677:0.522698:0.534677:0.513133:0.529140:0.513133:0.000000
 .:@0.552195:0.520734:0.559355:0.520734:0.559355:0.504301:0.552195:0.504301:0.000000:0.000000
La sucesión :@0.293665:0.559676:0.381670:0.559676:0.381670:0.543242:0.293665:0.543242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.398923:0.551779:0.407906:0.551779:0.407906:0.535345:0.398923:0.535345:0.000000
10:@0.389149:0.568171:0.407040:0.568171:0.407040:0.551737:0.389149:0.551737:0.000000:0.000000
2:@0.406953:0.562105:0.412190:0.562105:0.412190:0.552524:0.406953:0.552524:0.000000
n:@0.412147:0.562105:0.417685:0.562105:0.417685:0.552540:0.412147:0.552540:0.000000
 es positiva, estrictamente decreciente.:@0.425307:0.559672:0.705789:0.559672:0.705789:0.543239:0.425307:0.543239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para   suficientemente grande, :@0.293660:0.595505:0.522359:0.595505:0.522359:0.579072:0.293660:0.579072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.328119:0.595505:0.337617:0.595505:0.337617:0.579099:0.328119:0.579099:0.000000
1:@0.543743:0.587143:0.552725:0.587143:0.552725:0.570709:0.543743:0.570709:0.000000
10:@0.525299:0.603535:0.543191:0.603535:0.543191:0.587101:0.525299:0.587101:0.000000:0.000000
2( +1):@0.543095:0.597469:0.571169:0.597469:0.571169:0.587888:0.543095:0.587888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.551187:0.597469:0.556724:0.597469:0.556724:0.587904:0.551187:0.587904:0.000000
 es positivo y tiende o se:@0.574244:0.595505:0.751516:0.595505:0.751516:0.579072:0.574244:0.579072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aproxima cada vez a 0, lo que se escribe :@0.293662:0.627763:0.586217:0.627763:0.586217:0.611329:0.293662:0.611329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.606289:0.619402:0.615272:0.619402:0.615272:0.602968:0.606289:0.602968:0.000000
10:@0.587845:0.635794:0.605737:0.635794:0.605737:0.619360:0.587845:0.619360:0.000000:0.000000
2( +1):@0.605641:0.629727:0.633715:0.629727:0.633715:0.620146:0.605641:0.620146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.613733:0.629727:0.619270:0.629727:0.619270:0.620163:0.613733:0.620163:0.000000
n:@0.640480:0.633751:0.646956:0.633751:0.646956:0.622565:0.640480:0.622565:0.000000
→:@0.646910:0.633190:0.657646:0.633190:0.657646:0.623152:0.646910:0.623152:0.000000
∞:@0.657590:0.633751:0.666538:0.633751:0.666538:0.622546:0.657590:0.622546:0.000000
 :@0.642364:0.622778:0.646395:0.622778:0.646395:0.606344:0.642364:0.606344:0.000000
 0.:@0.668373:0.627764:0.684443:0.627764:0.684443:0.611330:0.668373:0.611330:0.000000:0.000000:0.000000
Luego, para   suficientemente grande:@0.293657:0.655126:0.569707:0.655126:0.569707:0.638692:0.293657:0.638692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.382361:0.655126:0.391859:0.655126:0.391859:0.638720:0.382361:0.638720:0.000000
d:@0.461228:0.695160:0.470487:0.695160:0.470487:0.678754:0.461228:0.678754:0.000000
n:@0.470420:0.689096:0.475957:0.689096:0.475957:0.679531:0.470420:0.679531:0.000000
+1:@0.475915:0.689096:0.487504:0.689096:0.487504:0.679515:0.475915:0.679515:0.000000:0.000000
1 – :@0.456773:0.711549:0.482801:0.711549:0.482801:0.695116:0.456773:0.695116:0.000000:0.000000:0.000000:0.000000
d:@0.482691:0.711549:0.491950:0.711549:0.491950:0.695143:0.482691:0.695143:0.000000
1:@0.568156:0.712671:0.577139:0.712671:0.577139:0.696238:0.568156:0.696238:0.000000
10:@0.561124:0.729064:0.579016:0.729064:0.579016:0.712630:0.561124:0.712630:0.000000:0.000000
2:@0.578931:0.722997:0.584168:0.722997:0.584168:0.713416:0.578931:0.713416:0.000000
1 –:@0.523796:0.723400:0.547936:0.723400:0.547936:0.706967:0.523796:0.706967:0.000000:0.000000:0.000000
 :@0.532698:0.724472:0.538855:0.724472:0.538855:0.702959:0.532698:0.702959:0.000000
1:@0.549119:0.678287:0.558102:0.678287:0.558102:0.661853:0.549119:0.661853:0.000000
10:@0.542088:0.694679:0.559980:0.694679:0.559980:0.678246:0.542088:0.678246:0.000000:0.000000
2:@0.559894:0.688613:0.565131:0.688613:0.565131:0.679032:0.559894:0.679032:0.000000
n:@0.570527:0.670096:0.576568:0.670096:0.576568:0.659662:0.570527:0.659662:0.000000
+1:@0.576568:0.670096:0.589551:0.670096:0.589551:0.659494:0.576568:0.659494:0.000000:0.000000
1:@0.651733:0.695160:0.660716:0.695160:0.660716:0.678726:0.651733:0.678726:0.000000
99×10:@0.627620:0.711552:0.674208:0.711552:0.674208:0.695118:0.627620:0.695118:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.674110:0.705486:0.679346:0.705486:0.679346:0.695905:0.674110:0.695905:0.000000
n:@0.679304:0.705486:0.684841:0.705486:0.684841:0.695921:0.679304:0.695921:0.000000
n:@0.695705:0.708259:0.702181:0.708259:0.702181:0.697073:0.695705:0.697073:0.000000
→:@0.702135:0.707698:0.712871:0.707698:0.712871:0.697659:0.702135:0.697659:0.000000
∞:@0.712815:0.708259:0.721763:0.708259:0.721763:0.697054:0.712815:0.697054:0.000000
=:@0.501639:0.703539:0.512609:0.703539:0.512609:0.687105:0.501639:0.687105:0.000000
=                            0,:@0.603561:0.703539:0.737382:0.703539:0.737382:0.687105:0.603561:0.687105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y en consecuencia,   = :@0.293655:0.761327:0.467548:0.761334:0.467548:0.744900:0.293655:0.744894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.435170:0.761327:0.443232:0.761327:0.443232:0.744921:0.435170:0.744921:0.000000
n:@0.443164:0.764506:0.448701:0.764506:0.448701:0.754941:0.443164:0.754941:0.000000
1:@0.481936:0.753865:0.490919:0.753865:0.490919:0.737431:0.481936:0.737431:0.000000
1 – :@0.468646:0.770257:0.495035:0.770257:0.495035:0.753823:0.468646:0.753823:0.000000:0.000000:0.000000:0.000000
d:@0.494932:0.770257:0.504191:0.770257:0.504191:0.753851:0.494932:0.753851:0.000000
  –  :@0.505313:0.761340:0.530347:0.761340:0.530347:0.744906:0.505313:0.744906:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.574729:0.767668:0.581205:0.767668:0.581205:0.756482:0.574729:0.756482:0.000000
→:@0.581160:0.767107:0.591895:0.767107:0.591895:0.757068:0.581160:0.757068:0.000000
∞:@0.591839:0.767668:0.600788:0.767668:0.600788:0.756463:0.591839:0.756463:0.000000
d:@0.536082:0.753865:0.545341:0.753865:0.545341:0.737459:0.536082:0.737459:0.000000
n:@0.545274:0.747801:0.550811:0.747801:0.550811:0.738236:0.545274:0.738236:0.000000
+1:@0.550768:0.747801:0.562358:0.747801:0.562358:0.738220:0.550768:0.738220:0.000000:0.000000
1 – :@0.531443:0.770255:0.557832:0.770255:0.557832:0.753821:0.531443:0.753821:0.000000:0.000000:0.000000:0.000000
d:@0.557729:0.770255:0.566988:0.770255:0.566988:0.753849:0.557729:0.753849:0.000000
  ,:@0.606903:0.761334:0.622052:0.761334:0.622052:0.744900:0.606903:0.744900:0.000000:0.000000:0.000000
S:@0.610861:0.761334:0.618923:0.761334:0.618923:0.744928:0.610861:0.744928:0.000000
siendo    = 1 +   +   + ... +   + ... = :@0.293667:0.798958:0.555963:0.798954:0.555963:0.782520:0.293667:0.782524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.350398:0.798958:0.358460:0.798958:0.358460:0.782552:0.350398:0.782552:0.000000
d:@0.404865:0.798958:0.414124:0.798958:0.414124:0.782552:0.404865:0.782552:0.000000
d:@0.432844:0.798958:0.442103:0.798958:0.442103:0.782552:0.432844:0.782552:0.000000
2:@0.442048:0.792890:0.447285:0.792890:0.447285:0.783309:0.442048:0.783309:0.000000
d:@0.494194:0.798954:0.503453:0.798954:0.503453:0.782548:0.494194:0.782548:0.000000
n:@0.503379:0.792890:0.508916:0.792890:0.508916:0.783326:0.503379:0.783326:0.000000
1:@0.570309:0.792378:0.579292:0.792378:0.579292:0.775944:0.570309:0.775944:0.000000
1 – :@0.557019:0.808770:0.583408:0.808770:0.583408:0.792337:0.557019:0.792337:0.000000:0.000000:0.000000:0.000000
d:@0.583305:0.808770:0.592564:0.808770:0.592564:0.792364:0.583305:0.792364:0.000000
 .              :@0.593687:0.798952:0.657276:0.798952:0.657276:0.782518:0.593687:0.782518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así,   =          1 +         +         + ...    =         ×          = :@0.293648:0.838102:0.639430:0.838020:0.639430:0.821586:0.293648:0.821668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
52:@0.653253:0.829998:0.671144:0.829998:0.671144:0.813564:0.653253:0.813564:0.000000:0.000000
99:@0.653253:0.846390:0.671144:0.846390:0.671144:0.829956:0.653253:0.829956:0.000000:0.000000
52:@0.346455:0.829998:0.364347:0.829998:0.364347:0.813564:0.346455:0.813564:0.000000:0.000000
10:@0.343878:0.846390:0.361770:0.846390:0.361770:0.829956:0.343878:0.829956:0.000000:0.000000
2:@0.361682:0.840323:0.366918:0.840323:0.366918:0.830742:0.361682:0.830742:0.000000
52:@0.554877:0.829998:0.572769:0.829998:0.572769:0.813564:0.554877:0.813564:0.000000:0.000000
10:@0.552300:0.846390:0.570192:0.846390:0.570192:0.829956:0.552300:0.829956:0.000000:0.000000
2:@0.570104:0.840323:0.575340:0.840323:0.575340:0.830742:0.570104:0.830742:0.000000
100:@0.600069:0.829998:0.626870:0.829998:0.626870:0.813564:0.600069:0.813564:0.000000:0.000000:0.000000
99:@0.604523:0.846390:0.622415:0.846390:0.622415:0.829956:0.604523:0.829956:0.000000:0.000000
1:@0.416669:0.829998:0.425652:0.829998:0.425652:0.813564:0.416669:0.813564:0.000000
10:@0.409638:0.846390:0.427529:0.846390:0.427529:0.829956:0.409638:0.829956:0.000000:0.000000
2:@0.427444:0.840323:0.432681:0.840323:0.432681:0.830742:0.427444:0.830742:0.000000
1:@0.465144:0.829998:0.474127:0.829998:0.474127:0.813564:0.465144:0.813564:0.000000
10:@0.458112:0.846390:0.476004:0.846390:0.476004:0.829956:0.458112:0.829956:0.000000:0.000000
4:@0.475919:0.840323:0.481156:0.840323:0.481156:0.830742:0.475919:0.830742:0.000000
r:@0.321825:0.838020:0.327108:0.838020:0.327108:0.821614:0.321825:0.821614:0.000000
es el número racional buscado. Por lo tanto,:@0.293668:0.872607:0.609611:0.872607:0.609611:0.856173:0.293668:0.856173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.293668:0.904864:0.302983:0.904864:0.302983:0.888458:0.293668:0.888458:0.000000
= 3,525252... = 3 + 0,525252... = 3 +:@0.306866:0.904864:0.560666:0.904864:0.560666:0.888431:0.306866:0.888431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
52:@0.566005:0.896508:0.583897:0.896508:0.583897:0.880074:0.566005:0.880074:0.000000:0.000000
99:@0.566005:0.912900:0.583897:0.912900:0.583897:0.896466:0.566005:0.896466:0.000000:0.000000
 =:@0.585536:0.904870:0.600464:0.904870:0.600464:0.888436:0.585536:0.888436:0.000000:0.000000
349:@0.605169:0.896508:0.631970:0.896508:0.631970:0.880074:0.605169:0.880074:0.000000:0.000000:0.000000
99:@0.609624:0.912900:0.627516:0.912900:0.627516:0.896466:0.609624:0.896466:0.000000:0.000000
 .:@0.632725:0.904870:0.639886:0.904870:0.639886:0.888436:0.632725:0.888436:0.000000:0.000000
Para verificar este resultado, basta dividir 349 para 99.:@0.293682:0.935810:0.676678:0.935810:0.676678:0.919376:0.293682:0.919376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra :@0.080678:0.162906:0.146216:0.162906:0.146216:0.145959:0.080678:0.145959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emprendimiento:@0.080678:0.178035:0.214398:0.178035:0.214398:0.161088:0.080678:0.161088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A menudo nos :@0.080678:0.199605:0.177919:0.199605:0.177919:0.184665:0.080678:0.184665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
preguntamos: \¿Para qué :@0.080678:0.213473:0.240090:0.213473:0.240090:0.198533:0.080678:0.198533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
me servirá lo que aprendo :@0.080678:0.227341:0.247753:0.227341:0.247753:0.212401:0.080678:0.212401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en clase?\. La matemática es :@0.080678:0.241210:0.257477:0.241210:0.257477:0.226270:0.080678:0.226270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
útil en situaciones simples, :@0.080678:0.255078:0.248312:0.255078:0.248312:0.240138:0.080678:0.240138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como contar dinero, :@0.080678:0.268946:0.210890:0.268946:0.210890:0.254006:0.080678:0.254006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y en complejas, como :@0.080678:0.282814:0.220652:0.282814:0.220652:0.267874:0.080678:0.267874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estimar la reproducción de :@0.080678:0.296682:0.250865:0.296682:0.250865:0.281742:0.080678:0.281742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bacterias. Las progresiones :@0.080678:0.310550:0.249831:0.310550:0.249831:0.295611:0.080678:0.295611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométricas nos ayudan a :@0.080678:0.324419:0.248255:0.324419:0.248255:0.309479:0.080678:0.309479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular intereses de ahorros :@0.080678:0.338287:0.259523:0.338287:0.259523:0.323347:0.080678:0.323347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y ganancias de inversiones. :@0.080678:0.352155:0.251816:0.352155:0.251816:0.337215:0.080678:0.337215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este concepto también se :@0.080678:0.366023:0.246165:0.366023:0.246165:0.351083:0.080678:0.351083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplica en negocios, donde :@0.080678:0.379891:0.247826:0.379891:0.247826:0.364952:0.080678:0.364952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el crecimiento de clientes :@0.080678:0.393760:0.242642:0.393760:0.242642:0.378820:0.080678:0.378820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e ingresos sigue un patrón :@0.080678:0.407628:0.248986:0.407628:0.248986:0.392688:0.080678:0.392688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométrico, destacando :@0.080678:0.421496:0.236708:0.421496:0.236708:0.406556:0.080678:0.406556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la relevancia de lo que :@0.080678:0.435364:0.222486:0.435364:0.222486:0.420424:0.080678:0.420424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aprendemos. :@0.080678:0.449232:0.166946:0.449232:0.166946:0.434293:0.080678:0.434293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si tus padres te dan el doble :@0.080678:0.587914:0.258763:0.587914:0.258763:0.572975:0.080678:0.572975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de mesada cada semana, :@0.080678:0.601783:0.241625:0.601783:0.241625:0.586843:0.080678:0.586843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿cuánto tendrías al final del :@0.080678:0.615651:0.252216:0.615651:0.252216:0.600711:0.080678:0.600711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mes? ¿Cómo podrías usar :@0.080678:0.629519:0.243703:0.629519:0.243703:0.614579:0.080678:0.614579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ese crecimiento para ahorrar :@0.080678:0.643387:0.261602:0.643387:0.261602:0.628447:0.080678:0.628447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o invertir, como hacen los :@0.080678:0.657255:0.243522:0.657255:0.243522:0.642316:0.080678:0.642316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negocios?:@0.080678:0.671124:0.144367:0.671124:0.144367:0.656184:0.080678:0.656184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000