118:@0.053974:0.966765:0.079386:0.966765:0.079386:0.950778:0.053974:0.950778:0.000000:0.000000:0.000000
Progresiones aritméticas:@0.404235:0.127666:0.708894:0.127666:0.708894:0.083007:0.404235:0.083007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.54. Reconocer y calcular uno o varios parámetros de una progresión (aritmética o geométrica), conocidos otros parámetros.  :@0.143487:0.940354:0.677201:0.940354:0.677201:0.930312:0.143487:0.930312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.56. Resolver ejercicios numéricos y problemas con la aplicación de las progresiones aritméticas, geométricas y sumas parciales finitas de sucesiones numéricas.:@0.143487:0.949155:0.809302:0.949155:0.809302:0.939113:0.143487:0.939113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición  :@0.404236:0.167937:0.492066:0.167937:0.492066:0.150991:0.404236:0.150991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una sucesión real ( ) se llama progresión aritmética si :@0.485189:0.167474:0.895909:0.167474:0.895909:0.150977:0.485189:0.150977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.632048:0.167590:0.641257:0.167590:0.641257:0.151121:0.632048:0.151121:0.000000
n:@0.641190:0.170820:0.646649:0.170820:0.646649:0.161219:0.641190:0.161219:0.000000
y solo si existe       con   ≠ 0, tal que :@0.404233:0.183813:0.697066:0.183819:0.697066:0.167322:0.404233:0.167315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.511960:0.183929:0.521131:0.183929:0.521131:0.167460:0.511960:0.167460:0.000000
:@0.526026:0.183301:0.540679:0.183301:0.540679:0.169927:0.526026:0.169927:0.000000
R:@0.545583:0.182851:0.559492:0.182851:0.559492:0.169404:0.545583:0.169404:0.000000
d:@0.596462:0.183935:0.605633:0.183935:0.605633:0.167466:0.596462:0.167466:0.000000
u:@0.697740:0.183935:0.706949:0.183935:0.706949:0.167466:0.697740:0.167466:0.000000
n:@0.706851:0.187165:0.712310:0.187165:0.712310:0.177563:0.706851:0.177563:0.000000
+1:@0.712366:0.187097:0.723676:0.187097:0.723676:0.177479:0.712366:0.177479:0.000000:0.000000
 =   +  , :@0.723733:0.183819:0.795723:0.183819:0.795723:0.167322:0.723733:0.167322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.744270:0.183935:0.753478:0.183935:0.753478:0.167466:0.744270:0.167466:0.000000
n:@0.753411:0.187165:0.758870:0.187165:0.758870:0.177563:0.753411:0.177563:0.000000
d:@0.779463:0.183935:0.788633:0.183935:0.788633:0.167466:0.779463:0.167466:0.000000
∀:@0.796383:0.191406:0.807956:0.191406:0.807956:0.172407:0.796383:0.172407:0.000000
n:@0.808056:0.183935:0.817419:0.183935:0.817419:0.167466:0.808056:0.167466:0.000000
    , con :@0.817515:0.183819:0.895922:0.183819:0.895922:0.167322:0.817515:0.167322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.822326:0.183301:0.836978:0.183301:0.836978:0.169927:0.822326:0.169927:0.000000
N:@0.841883:0.182851:0.856871:0.182851:0.856871:0.169404:0.841883:0.169404:0.000000
u:@0.404234:0.200274:0.413442:0.200274:0.413442:0.183805:0.404234:0.183805:0.000000
0:@0.413540:0.203442:0.418494:0.203442:0.418494:0.193824:0.413540:0.193824:0.000000
 :@0.418550:0.203510:0.420965:0.203510:0.420965:0.193908:0.418550:0.193908:0.000000
:@0.421022:0.199646:0.435675:0.199646:0.435675:0.186272:0.421022:0.186272:0.000000
  dado. :@0.435761:0.200164:0.502858:0.200164:0.502858:0.183667:0.435761:0.183667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R :@0.439999:0.199195:0.458821:0.199195:0.458821:0.185749:0.439999:0.185749:0.000000:0.000000
 :@0.404236:0.216189:0.408018:0.216189:0.408018:0.201125:0.404236:0.201125:0.000000
Cada término de la progresión aritmética se obtiene sumando al tér-:@0.404236:0.232854:0.891763:0.232854:0.891763:0.216356:0.404236:0.216356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mino anterior la constante  .:@0.404236:0.249193:0.608698:0.249193:0.608698:0.232695:0.404236:0.232695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.596773:0.249308:0.605943:0.249308:0.605943:0.232840:0.596773:0.232840:0.000000
 :@0.404236:0.265223:0.408018:0.265223:0.408018:0.250160:0.404236:0.250160:0.000000
u:@0.404236:0.282004:0.413445:0.282004:0.413445:0.265536:0.404236:0.265536:0.000000
1:@0.413540:0.285167:0.418494:0.285167:0.418494:0.275549:0.413540:0.275549:0.000000
 =   +  ,       =   +   =   + 2:@0.418551:0.281889:0.643163:0.281889:0.643163:0.265391:0.418551:0.265391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.437932:0.282004:0.447141:0.282004:0.447141:0.265536:0.437932:0.265536:0.000000
0:@0.447236:0.285167:0.452189:0.285167:0.452189:0.275549:0.447236:0.275549:0.000000
d:@0.471626:0.282004:0.480796:0.282004:0.480796:0.265536:0.471626:0.265536:0.000000
u:@0.504936:0.282004:0.514144:0.282004:0.514144:0.265536:0.504936:0.265536:0.000000
2:@0.514239:0.285167:0.519192:0.285167:0.519192:0.275549:0.514239:0.275549:0.000000
u:@0.538629:0.282004:0.547838:0.282004:0.547838:0.265536:0.538629:0.265536:0.000000
1:@0.547935:0.285167:0.552888:0.285167:0.552888:0.275549:0.547935:0.275549:0.000000
d:@0.572325:0.282004:0.581495:0.282004:0.581495:0.265536:0.572325:0.265536:0.000000
u:@0.600972:0.282004:0.610181:0.282004:0.610181:0.265536:0.600972:0.265536:0.000000
0:@0.610276:0.285167:0.615229:0.285167:0.615229:0.275549:0.610276:0.275549:0.000000
d,:@0.643259:0.282004:0.655416:0.282004:0.655416:0.265536:0.643259:0.265536:0.000000:0.000000
u:@0.404235:0.298343:0.413444:0.298343:0.413444:0.281874:0.404235:0.281874:0.000000
3:@0.413540:0.301512:0.418494:0.301512:0.418494:0.291893:0.413540:0.291893:0.000000
 =   +   =   + 2  +   =   + 3:@0.418551:0.298234:0.642044:0.298234:0.642044:0.281736:0.418551:0.281736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.437932:0.298349:0.447141:0.298349:0.447141:0.281881:0.437932:0.281881:0.000000
2:@0.447236:0.301512:0.452189:0.301512:0.452189:0.291893:0.447236:0.291893:0.000000
d:@0.471626:0.298349:0.480796:0.298349:0.480796:0.281881:0.471626:0.281881:0.000000
u:@0.500273:0.298349:0.509482:0.298349:0.509482:0.281881:0.500273:0.281881:0.000000
0:@0.509577:0.301512:0.514530:0.301512:0.514530:0.291893:0.509577:0.291893:0.000000
d:@0.542561:0.298349:0.551731:0.298349:0.551731:0.281881:0.542561:0.281881:0.000000
d:@0.571208:0.298349:0.580378:0.298349:0.580378:0.281881:0.571208:0.281881:0.000000
u:@0.599856:0.298349:0.609064:0.298349:0.609064:0.281881:0.599856:0.281881:0.000000
0:@0.609158:0.301512:0.614111:0.301512:0.614111:0.291893:0.609158:0.291893:0.000000
d,:@0.642140:0.298349:0.654297:0.298349:0.654297:0.281881:0.642140:0.281881:0.000000:0.000000
:@0.404234:0.313604:0.413866:0.313604:0.413866:0.300157:0.404234:0.300157:0.000000
u:@0.404234:0.331027:0.413442:0.331027:0.413442:0.314558:0.404234:0.314558:0.000000
k:@0.413425:0.334269:0.418232:0.334269:0.418232:0.324668:0.413425:0.324668:0.000000
 = :@0.418288:0.330924:0.437573:0.330924:0.437573:0.314426:0.418288:0.314426:0.000000:0.000000:0.000000
u:@0.437669:0.331039:0.446878:0.331039:0.446878:0.314570:0.437669:0.314570:0.000000
k:@0.446859:0.334269:0.451666:0.334269:0.451666:0.324668:0.446859:0.324668:0.000000
–1:@0.451723:0.334201:0.462853:0.334201:0.462853:0.324583:0.451723:0.324583:0.000000:0.000000
 +   =   + (  – 1)  +   =   + :@0.462908:0.330924:0.683381:0.330924:0.683381:0.314426:0.462908:0.314426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.482289:0.331039:0.491459:0.331039:0.491459:0.314570:0.482289:0.314570:0.000000
u:@0.510936:0.331039:0.520145:0.331039:0.520145:0.314570:0.510936:0.314570:0.000000
0:@0.520242:0.334201:0.525195:0.334201:0.525195:0.324583:0.520242:0.324583:0.000000
k:@0.550681:0.331039:0.558926:0.331039:0.558926:0.314570:0.550681:0.314570:0.000000
d:@0.592737:0.331039:0.601907:0.331039:0.601907:0.314570:0.592737:0.314570:0.000000
d:@0.621384:0.331039:0.630554:0.331039:0.630554:0.314570:0.621384:0.314570:0.000000
u:@0.650032:0.331039:0.659240:0.331039:0.659240:0.314570:0.650032:0.314570:0.000000
0:@0.659335:0.334269:0.664041:0.334269:0.664041:0.324668:0.659335:0.324668:0.000000
kd,   k :@0.683477:0.331039:0.728924:0.331039:0.728924:0.314570:0.683477:0.314570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 1, 2…:@0.729020:0.330924:0.783483:0.330924:0.783483:0.314426:0.729020:0.314426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404236:0.346948:0.408018:0.346948:0.408018:0.331885:0.404236:0.331885:0.000000
Así, el término general   de una progresión aritmética ( ) está defi-:@0.404236:0.363613:0.891763:0.363613:0.891763:0.347116:0.404236:0.347116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.566893:0.363729:0.576102:0.363729:0.576102:0.347260:0.566893:0.347260:0.000000
n:@0.576057:0.366959:0.581516:0.366959:0.581516:0.357358:0.576057:0.357358:0.000000
u:@0.801543:0.363729:0.810752:0.363729:0.810752:0.347260:0.801543:0.347260:0.000000
n:@0.810711:0.366959:0.816170:0.366959:0.816170:0.357358:0.810711:0.357358:0.000000
nido como   =   + :@0.404239:0.379952:0.551881:0.379958:0.551881:0.363461:0.404239:0.363454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.485962:0.380068:0.495171:0.380068:0.495171:0.363599:0.485962:0.363599:0.000000
n:@0.495115:0.383304:0.500573:0.383304:0.500573:0.373702:0.495115:0.373702:0.000000
u:@0.518854:0.380074:0.528063:0.380074:0.528063:0.363605:0.518854:0.363605:0.000000
0:@0.528165:0.383236:0.533119:0.383236:0.533119:0.373618:0.528165:0.373618:0.000000
nd, n:@0.551399:0.380074:0.586094:0.380074:0.586094:0.363605:0.551399:0.363605:0.000000:0.000000:0.000000:0.000000:0.000000
    . Además, el recorrido de la progresión :@0.586192:0.379958:0.895894:0.379958:0.895894:0.363461:0.586192:0.363461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.589864:0.379440:0.604517:0.379440:0.604517:0.366066:0.589864:0.366066:0.000000
N:@0.608265:0.378989:0.623254:0.378989:0.623254:0.365543:0.608265:0.365543:0.000000
aritmética ( ) es el conjunto  { +   |     }.:@0.404227:0.396297:0.744508:0.396303:0.744508:0.379805:0.404227:0.379799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.485892:0.396413:0.495101:0.396413:0.495101:0.379944:0.485892:0.379944:0.000000
n:@0.495053:0.399649:0.500511:0.399649:0.500511:0.390047:0.495053:0.390047:0.000000
u:@0.624516:0.396419:0.633725:0.396419:0.633725:0.379950:0.624516:0.379950:0.000000
0:@0.633823:0.399581:0.638776:0.399581:0.638776:0.389963:0.633823:0.389963:0.000000
 :@0.638832:0.399649:0.641247:0.399649:0.641247:0.390047:0.638832:0.390047:0.000000
nd  n:@0.656253:0.396419:0.697499:0.396419:0.697499:0.379950:0.656253:0.379950:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.701832:0.395785:0.716485:0.395785:0.716485:0.382411:0.701832:0.382411:0.000000
N:@0.720811:0.395334:0.735800:0.395334:0.735800:0.381888:0.720811:0.381888:0.000000
Ejercicio resuelto:@0.404245:0.429371:0.522223:0.429371:0.522223:0.412584:0.404245:0.412584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea ( ) la sucesión definida como   = 3 + 4 ,       .:@0.404245:0.445333:0.792939:0.445338:0.792939:0.428840:0.404245:0.428836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.438460:0.445449:0.447668:0.445449:0.447668:0.428980:0.438460:0.428980:0.000000
n:@0.447601:0.448683:0.453060:0.448683:0.453060:0.439082:0.447601:0.439082:0.000000
u:@0.652180:0.445454:0.661389:0.445454:0.661389:0.428985:0.652180:0.428985:0.000000
n:@0.661332:0.448683:0.666790:0.448683:0.666790:0.439082:0.661332:0.439082:0.000000
n n:@0.722022:0.445454:0.751787:0.445454:0.751787:0.428985:0.722022:0.428985:0.000000:0.000000:0.000000
:@0.756120:0.444819:0.770773:0.444819:0.770773:0.431446:0.756120:0.431446:0.000000
N:@0.775099:0.444369:0.790087:0.444369:0.790087:0.430922:0.775099:0.430922:0.000000
Tenemos   = 3. Por un lado,   = 3 + 4 × 1 = 7, y por otro,:@0.404243:0.461677:0.816917:0.461683:0.816917:0.445185:0.404243:0.445179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.473056:0.461792:0.482265:0.461792:0.482265:0.445323:0.473056:0.445323:0.000000
0:@0.482356:0.464961:0.487309:0.464961:0.487309:0.455343:0.482356:0.455343:0.000000
u:@0.610990:0.461798:0.620199:0.461798:0.620199:0.445330:0.610990:0.445330:0.000000
1:@0.620294:0.464961:0.625247:0.464961:0.625247:0.455343:0.620294:0.455343:0.000000
u:@0.404234:0.478137:0.413442:0.478137:0.413442:0.461668:0.404234:0.461668:0.000000
1:@0.413540:0.481306:0.418494:0.481306:0.418494:0.471688:0.413540:0.471688:0.000000
 =  +   = 3 +   = 7. Luego,   = 4. Resulta :@0.418551:0.478028:0.718283:0.478028:0.718283:0.461530:0.418551:0.461530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.437643:0.478143:0.446852:0.478143:0.446852:0.461675:0.437643:0.461675:0.000000
0:@0.446946:0.481306:0.451900:0.481306:0.451900:0.471688:0.446946:0.471688:0.000000
 :@0.451956:0.481373:0.454371:0.481373:0.454371:0.471772:0.451956:0.471772:0.000000
d:@0.469376:0.478143:0.478546:0.478143:0.478546:0.461675:0.469376:0.461675:0.000000
d:@0.525226:0.478143:0.534396:0.478143:0.534396:0.461675:0.525226:0.461675:0.000000
d:@0.618990:0.478143:0.628160:0.478143:0.628160:0.461675:0.618990:0.461675:0.000000
u:@0.404240:0.494482:0.413449:0.494482:0.413449:0.478013:0.404240:0.478013:0.000000
2:@0.413540:0.497651:0.418494:0.497651:0.418494:0.488032:0.413540:0.488032:0.000000
 =  +   = 7 + 4 = 11,   =  +   = 11 + 4 = 15, así sucesivamente.:@0.418551:0.494373:0.886567:0.494373:0.886567:0.477875:0.418551:0.477875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.437643:0.494488:0.446852:0.494488:0.446852:0.478020:0.437643:0.478020:0.000000
1:@0.446946:0.497651:0.451900:0.497651:0.451900:0.488032:0.446946:0.488032:0.000000
 :@0.451956:0.497718:0.454371:0.497718:0.454371:0.488117:0.451956:0.488117:0.000000
d:@0.469376:0.494488:0.478546:0.494488:0.478546:0.478020:0.469376:0.478020:0.000000
u:@0.576703:0.494488:0.585912:0.494488:0.585912:0.478020:0.576703:0.478020:0.000000
3:@0.586006:0.497651:0.590960:0.497651:0.590960:0.488032:0.586006:0.488032:0.000000
u:@0.610107:0.494488:0.619316:0.494488:0.619316:0.478020:0.610107:0.478020:0.000000
2:@0.619412:0.497651:0.624366:0.497651:0.624366:0.488032:0.619412:0.488032:0.000000
 :@0.624422:0.497718:0.626837:0.497718:0.626837:0.488117:0.624422:0.488117:0.000000
d:@0.641842:0.494488:0.651012:0.494488:0.651012:0.478020:0.641842:0.478020:0.000000
 :@0.404236:0.510397:0.408018:0.510397:0.408018:0.495334:0.404236:0.495334:0.000000
El recorrido de esta sucesión está definido como el conjunto: :@0.404236:0.527062:0.840220:0.527062:0.840220:0.510565:0.404236:0.510565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{3 + 4  |      } = {3, 7, 11, 15, … 3 + 4 , …}.:@0.489543:0.543401:0.806462:0.543407:0.806462:0.526910:0.489543:0.526903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n n:@0.531483:0.543517:0.563502:0.543517:0.563502:0.527048:0.531483:0.527048:0.000000:0.000000:0.000000
:@0.567840:0.542889:0.582493:0.542889:0.582493:0.529515:0.567840:0.529515:0.000000
N:@0.586819:0.542439:0.601807:0.542439:0.601807:0.528992:0.586819:0.528992:0.000000
n:@0.766544:0.543523:0.775907:0.543523:0.775907:0.527054:0.766544:0.527054:0.000000
 :@0.404236:0.559432:0.408018:0.559432:0.408018:0.544369:0.404236:0.544369:0.000000
Otra forma de obtener   es la siguiente: :@0.404236:0.576097:0.688379:0.576097:0.688379:0.559600:0.404236:0.559600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.570842:0.576213:0.580012:0.576213:0.580012:0.559744:0.570842:0.559744:0.000000
de la definición del término general de la sucesión  , se tiene :@0.404236:0.592436:0.842772:0.592442:0.842772:0.575944:0.404236:0.575938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.762950:0.592551:0.772158:0.592551:0.772158:0.576083:0.762950:0.576083:0.000000
n:@0.772005:0.595788:0.777464:0.595788:0.777464:0.586186:0.772005:0.586186:0.000000
u:@0.464923:0.608896:0.474131:0.608896:0.474131:0.592428:0.464923:0.592428:0.000000
n:@0.474074:0.612132:0.479532:0.612132:0.479532:0.602531:0.474074:0.602531:0.000000
+1:@0.479588:0.612065:0.490899:0.612065:0.490899:0.602447:0.479588:0.602447:0.000000:0.000000
 =   +   :@0.490955:0.608787:0.557790:0.608787:0.557790:0.592289:0.490955:0.592289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.510336:0.608903:0.519545:0.608903:0.519545:0.592434:0.510336:0.592434:0.000000
n:@0.519486:0.612132:0.524945:0.612132:0.524945:0.602531:0.519486:0.602531:0.000000
d:@0.544382:0.608903:0.553552:0.608903:0.553552:0.592434:0.544382:0.592434:0.000000
⇔:@0.557887:0.608281:0.577961:0.608281:0.577961:0.590569:0.557887:0.590569:0.000000
 3 + 4(  + 1) = 3 + 4  +   :@0.578057:0.608787:0.766587:0.608787:0.766587:0.592289:0.578057:0.592289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.624910:0.608903:0.634273:0.608903:0.634273:0.592434:0.624910:0.592434:0.000000
 :@0.668392:0.608903:0.672534:0.608903:0.672534:0.592434:0.668392:0.592434:0.000000
n:@0.724338:0.608903:0.733701:0.608903:0.733701:0.592434:0.724338:0.592434:0.000000
d:@0.753179:0.608903:0.762349:0.608903:0.762349:0.592434:0.753179:0.592434:0.000000
⇔:@0.766684:0.608281:0.786758:0.608281:0.786758:0.590569:0.766684:0.590569:0.000000
  = 4.:@0.786854:0.608787:0.831087:0.608787:0.831087:0.592289:0.786854:0.592289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d :@0.791093:0.608903:0.804501:0.608903:0.804501:0.592434:0.791093:0.592434:0.000000:0.000000
 :@0.404236:0.624811:0.408018:0.624811:0.408018:0.609748:0.404236:0.609748:0.000000
Y, por lo tanto, :@0.404236:0.641477:0.512715:0.641477:0.512715:0.624979:0.404236:0.624979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.512715:0.641593:0.521924:0.641593:0.521924:0.625124:0.512715:0.625124:0.000000
n:@0.521771:0.644822:0.527230:0.644822:0.527230:0.635221:0.521771:0.635221:0.000000
+1:@0.527230:0.644755:0.538484:0.644755:0.538484:0.635137:0.527230:0.635137:0.000000:0.000000
 =   + 4,      .:@0.538485:0.641477:0.657241:0.641477:0.657241:0.624979:0.538485:0.624979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.557577:0.641593:0.566786:0.641593:0.566786:0.625124:0.557577:0.625124:0.000000
n:@0.566726:0.644822:0.572185:0.644822:0.572185:0.635221:0.566726:0.635221:0.000000
n:@0.606726:0.641593:0.616089:0.641593:0.616089:0.625124:0.606726:0.625124:0.000000
:@0.620423:0.640958:0.635075:0.640958:0.635075:0.627585:0.620423:0.627585:0.000000
N:@0.639401:0.640508:0.654390:0.640508:0.654390:0.627061:0.639401:0.627061:0.000000
Se tiene :@0.404230:0.657815:0.464184:0.657815:0.464184:0.641318:0.404230:0.641318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.463953:0.657931:0.473161:0.657931:0.473161:0.641462:0.463953:0.641462:0.000000
n:@0.473005:0.661167:0.478463:0.661167:0.478463:0.651566:0.473005:0.651566:0.000000
+1:@0.478463:0.661100:0.489717:0.661100:0.489717:0.651482:0.478463:0.651482:0.000000:0.000000
 –   = 4 > 0,  :@0.489717:0.657822:0.587604:0.657822:0.587604:0.641324:0.489717:0.641324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.508038:0.657937:0.517247:0.657937:0.517247:0.641469:0.508038:0.641469:0.000000
n:@0.517087:0.661167:0.522546:0.661167:0.522546:0.651566:0.517087:0.651566:0.000000
∀:@0.587352:0.665408:0.598924:0.665408:0.598924:0.646409:0.587352:0.646409:0.000000
n:@0.599023:0.657937:0.608386:0.657937:0.608386:0.641469:0.599023:0.641469:0.000000
   :@0.608482:0.657822:0.631368:0.657822:0.631368:0.641324:0.608482:0.641324:0.000000:0.000000:0.000000
:@0.612487:0.657303:0.627139:0.657303:0.627139:0.643930:0.612487:0.643930:0.000000
N :@0.631233:0.656853:0.651134:0.656853:0.651134:0.643406:0.631233:0.643406:0.000000:0.000000
que muestra que ( ) es una suce-:@0.650960:0.657822:0.891783:0.657822:0.891783:0.641324:0.650960:0.641324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.780997:0.657937:0.790206:0.657937:0.790206:0.641469:0.780997:0.641469:0.000000
n:@0.790134:0.661167:0.795593:0.661167:0.795593:0.651566:0.790134:0.651566:0.000000
sión estrictamente creciente.:@0.404237:0.674160:0.607657:0.674160:0.607657:0.657663:0.404237:0.657663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404236:0.690191:0.408018:0.690191:0.408018:0.675128:0.404236:0.675128:0.000000
Ejercicio resuelto:@0.404236:0.707232:0.522215:0.707232:0.522215:0.690446:0.404236:0.690446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los cuatro primeros términos de una :@0.404236:0.723195:0.657919:0.723195:0.657919:0.706697:0.404236:0.706697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
progresión:@0.656782:0.723412:0.734017:0.723412:0.734017:0.706697:0.656782:0.706697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 aritmética son: 15; 12,5; :@0.733807:0.723195:0.895884:0.723195:0.895884:0.706697:0.733807:0.706697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10; 7,5. Determinemos el término general de la progresión aritmética.:@0.404236:0.739534:0.875530:0.739534:0.875530:0.723036:0.404236:0.723036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ponemos   = 15,   = 12,5.:@0.404236:0.772225:0.596256:0.772236:0.596256:0.755738:0.404236:0.755728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.474863:0.772341:0.484071:0.772341:0.484071:0.755872:0.474863:0.755872:0.000000
0:@0.484070:0.775514:0.489023:0.775514:0.489023:0.765896:0.484070:0.765896:0.000000
u:@0.532004:0.772352:0.541213:0.772352:0.541213:0.755883:0.532004:0.755883:0.000000
1:@0.541212:0.775514:0.546165:0.775514:0.546165:0.765896:0.541212:0.765896:0.000000
Luego,   =   + :@0.404239:0.788575:0.520850:0.788581:0.520850:0.772083:0.404239:0.772077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.454348:0.788690:0.463556:0.788690:0.463556:0.772222:0.454348:0.772222:0.000000
1:@0.463553:0.791859:0.468506:0.791859:0.468506:0.782241:0.463553:0.782241:0.000000
u:@0.487597:0.788697:0.496806:0.788697:0.496806:0.772228:0.487597:0.772228:0.000000
0:@0.496807:0.791859:0.501760:0.791859:0.501760:0.782241:0.496807:0.782241:0.000000
d :@0.520850:0.788697:0.534163:0.788697:0.534163:0.772228:0.520850:0.772228:0.000000:0.000000
⇔:@0.534163:0.788075:0.554237:0.788075:0.554237:0.770363:0.534163:0.770363:0.000000
 12,5 = 15 +   :@0.554237:0.788581:0.655110:0.788581:0.655110:0.772083:0.554237:0.772083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.641798:0.788697:0.650968:0.788697:0.650968:0.772228:0.641798:0.772228:0.000000
⇔:@0.655110:0.788075:0.675184:0.788075:0.675184:0.770363:0.655110:0.770363:0.000000
 :@0.675184:0.788581:0.679326:0.788581:0.679326:0.772083:0.675184:0.772083:0.000000
d = :@0.679326:0.788697:0.707666:0.788697:0.707666:0.772228:0.679326:0.772228:0.000000:0.000000:0.000000:0.000000
–2,5.:@0.707666:0.788581:0.740667:0.788581:0.740667:0.772083:0.707666:0.772083:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.404238:0.805035:0.413447:0.805035:0.413447:0.788567:0.404238:0.788567:0.000000
2:@0.413540:0.808204:0.418494:0.808204:0.418494:0.798586:0.413540:0.798586:0.000000
 =  +   = 12,5 – 2,5 = 10,:@0.418551:0.804926:0.603250:0.804926:0.603250:0.788428:0.418551:0.788428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.437643:0.805042:0.446852:0.805042:0.446852:0.788573:0.437643:0.788573:0.000000
1:@0.446946:0.808204:0.451900:0.808204:0.451900:0.798586:0.446946:0.798586:0.000000
 :@0.451956:0.808271:0.454371:0.808271:0.454371:0.798670:0.451956:0.798670:0.000000
d:@0.469376:0.805042:0.478546:0.805042:0.478546:0.788573:0.469376:0.788573:0.000000
u:@0.404240:0.821380:0.413449:0.821380:0.413449:0.804912:0.404240:0.804912:0.000000
3:@0.413540:0.824549:0.418494:0.824549:0.418494:0.814931:0.413540:0.814931:0.000000
 =  +   = 10 – 2,5 = 7,5,:@0.418551:0.821271:0.594754:0.821271:0.594754:0.804773:0.418551:0.804773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.437643:0.821387:0.446852:0.821387:0.446852:0.804918:0.437643:0.804918:0.000000
2:@0.446946:0.824549:0.451900:0.824549:0.451900:0.814931:0.446946:0.814931:0.000000
 :@0.451956:0.824616:0.454371:0.824616:0.454371:0.815015:0.451956:0.815015:0.000000
d:@0.469376:0.821387:0.478546:0.821387:0.478546:0.804918:0.469376:0.804918:0.000000
:@0.404240:0.836641:0.413873:0.836641:0.413873:0.823194:0.404240:0.823194:0.000000
u:@0.404240:0.854064:0.413449:0.854064:0.413449:0.837595:0.404240:0.837595:0.000000
n:@0.413386:0.857306:0.418845:0.857306:0.418845:0.847705:0.413386:0.847705:0.000000
+1:@0.418901:0.857239:0.430211:0.857239:0.430211:0.847621:0.418901:0.847621:0.000000:0.000000
 =  +   =   + (  + 1)  = 15 – 2,5(  + 1),     :@0.430268:0.853961:0.764084:0.853961:0.764084:0.837463:0.430268:0.837463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.449360:0.854076:0.458568:0.854076:0.458568:0.837608:0.449360:0.837608:0.000000
n :@0.458511:0.857306:0.466440:0.857306:0.466440:0.847705:0.458511:0.847705:0.000000:0.000000
d u:@0.481446:0.854076:0.518917:0.854076:0.518917:0.837608:0.481446:0.837608:0.000000:0.000000:0.000000
0:@0.519012:0.857239:0.523965:0.857239:0.523965:0.847621:0.519012:0.847621:0.000000
n:@0.549066:0.854076:0.558429:0.854076:0.558429:0.837608:0.549066:0.837608:0.000000
d:@0.591969:0.854076:0.601140:0.854076:0.601140:0.837608:0.591969:0.837608:0.000000
n:@0.681707:0.854076:0.691070:0.854076:0.691070:0.837608:0.681707:0.837608:0.000000
n:@0.731508:0.854076:0.740871:0.854076:0.740871:0.837608:0.731508:0.837608:0.000000
:@0.745201:0.853442:0.759854:0.853442:0.759854:0.840069:0.745201:0.840069:0.000000
N:@0.764180:0.852992:0.779168:0.852992:0.779168:0.839545:0.764180:0.839545:0.000000
.:@0.779265:0.854076:0.782116:0.854076:0.782116:0.837608:0.779265:0.837608:0.000000
Como :@0.404228:0.886652:0.453373:0.886652:0.453373:0.870155:0.404228:0.870155:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.453335:0.886768:0.462544:0.886768:0.462544:0.870299:0.453335:0.870299:0.000000
n:@0.462491:0.889996:0.467950:0.889996:0.467950:0.880395:0.462491:0.880395:0.000000
+1:@0.468006:0.889928:0.479316:0.889928:0.479316:0.880310:0.468006:0.880310:0.000000:0.000000
 –  = –2,5 < 0, :@0.479372:0.886651:0.594751:0.886651:0.594751:0.870153:0.479372:0.870153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.498079:0.886766:0.507288:0.886766:0.507288:0.870297:0.498079:0.870297:0.000000
n :@0.507225:0.889996:0.515154:0.889996:0.515154:0.880395:0.507225:0.880395:0.000000:0.000000
∀:@0.594703:0.894237:0.606275:0.894237:0.606275:0.875238:0.594703:0.875238:0.000000
n:@0.606374:0.886766:0.615737:0.886766:0.615737:0.870297:0.606374:0.870297:0.000000
    , se sigue que ( ) es una sucesión :@0.615833:0.886651:0.895918:0.886651:0.895918:0.870153:0.615833:0.870153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.620031:0.886132:0.634683:0.886132:0.634683:0.872759:0.620031:0.872759:0.000000
N:@0.638971:0.885682:0.653959:0.885682:0.653959:0.872235:0.638971:0.872235:0.000000
u:@0.756602:0.886766:0.765811:0.886766:0.765811:0.870297:0.756602:0.870297:0.000000
n:@0.765741:0.889996:0.771200:0.889996:0.771200:0.880395:0.765741:0.880395:0.000000
estrictamente decreciente.:@0.404234:0.902989:0.592224:0.902989:0.592224:0.886491:0.404234:0.886491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El recorrido de esta sucesión es el conjunto {15 – 2,5  |      }.:@0.404234:0.919328:0.853998:0.919341:0.853998:0.902843:0.404234:0.902830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n n:@0.774968:0.919443:0.806987:0.919443:0.806987:0.902975:0.774968:0.902975:0.000000:0.000000:0.000000
:@0.811323:0.918822:0.825975:0.918822:0.825975:0.905449:0.811323:0.905449:0.000000
N:@0.830302:0.918372:0.845290:0.918372:0.845290:0.904925:0.830302:0.904925:0.000000
Saberes previos:@0.199646:0.112146:0.307805:0.112146:0.307805:0.096673:0.199646:0.096673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo se forma el con-:@0.199884:0.140773:0.353812:0.140773:0.353812:0.125710:0.199884:0.125710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
junto de los números pares?:@0.153341:0.156615:0.334868:0.156615:0.334868:0.141552:0.153341:0.141552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.203768:0.363493:0.203768:0.363493:0.188295:0.199646:0.188295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el conjunto :@0.199884:0.232395:0.332847:0.232395:0.332847:0.217332:0.199884:0.217332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los diez primeros números :@0.153341:0.248237:0.348271:0.248237:0.348271:0.233174:0.153341:0.233174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
múltiplos de 11, comenzando :@0.153341:0.264079:0.350205:0.264079:0.350205:0.249016:0.153341:0.249016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en 66?:@0.153341:0.279921:0.193868:0.279921:0.193868:0.264858:0.153341:0.264858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.199644:0.718751:0.267109:0.718751:0.267109:0.701069:0.199644:0.701069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
progresión. :@0.199880:0.745564:0.279053:0.745564:0.279053:0.730303:0.199880:0.730303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesión de :@0.279053:0.745366:0.360194:0.745366:0.360194:0.730303:0.279053:0.730303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números o términos algebraicos :@0.153337:0.761208:0.364539:0.761208:0.364539:0.746145:0.153337:0.746145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre los cuales hay una ley de :@0.153337:0.777050:0.352875:0.777050:0.352875:0.761987:0.153337:0.761987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formación constante.:@0.153337:0.792892:0.291173:0.792892:0.291173:0.777829:0.153337:0.777829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146908:0.722484:0.158313:0.720975:0.153110:0.698830:0.141706:0.700339:0.000000
c:@0.150290:0.733453:0.160889:0.732051:0.155807:0.710416:0.145207:0.711819:0.000000
b:@0.160665:0.726236:0.173379:0.724553:0.168247:0.702711:0.155534:0.704393:0.000000
Competencia :@0.199644:0.362415:0.297267:0.362415:0.297267:0.346943:0.199644:0.346943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.374983:0.283707:0.374983:0.283707:0.359511:0.199644:0.359511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   :@0.199880:0.399458:0.230932:0.399458:0.230932:0.384395:0.199880:0.384395:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.214445:0.399563:0.222853:0.399563:0.222853:0.384527:0.214445:0.384527:0.000000
0:@0.222853:0.402511:0.227150:0.402511:0.227150:0.393745:0.222853:0.393745:0.000000
 :@0.230932:0.399260:0.249982:0.399260:0.249982:0.385886:0.230932:0.385886:0.000000:0.000000
R:@0.249982:0.398573:0.262682:0.398573:0.262682:0.386296:0.249982:0.386296:0.000000
 está fijado y si :@0.262682:0.399458:0.360340:0.399458:0.360340:0.384395:0.262682:0.384395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.153342:0.415405:0.161715:0.415405:0.161715:0.400369:0.153342:0.400369:0.000000
 = 0, entonces::@0.161715:0.415300:0.255063:0.415300:0.255063:0.400237:0.161715:0.400237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.153342:0.438376:0.161750:0.438376:0.161750:0.423340:0.153342:0.423340:0.000000
n:@0.161611:0.441323:0.166595:0.441323:0.166595:0.432556:0.161611:0.432556:0.000000
+1:@0.166595:0.441261:0.176871:0.441261:0.176871:0.432479:0.166595:0.432479:0.000000:0.000000
 =   +  ,  :@0.176871:0.438269:0.243437:0.438269:0.243437:0.423206:0.176871:0.423206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.194303:0.438375:0.202711:0.438375:0.202711:0.423338:0.194303:0.423338:0.000000
n:@0.202569:0.441323:0.207553:0.441323:0.207553:0.432556:0.202569:0.432556:0.000000
d:@0.224985:0.438375:0.233358:0.438375:0.233358:0.423338:0.224985:0.423338:0.000000
∀:@0.243435:0.445152:0.253955:0.445152:0.253955:0.427880:0.243435:0.427880:0.000000
n:@0.253964:0.438375:0.262513:0.438375:0.262513:0.423338:0.253964:0.423338:0.000000
     :@0.262513:0.438269:0.300799:0.438269:0.300799:0.423206:0.262513:0.423206:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.266294:0.437770:0.279551:0.437770:0.279551:0.425670:0.266294:0.425670:0.000000
N:@0.283332:0.437385:0.297017:0.437385:0.297017:0.425107:0.283332:0.425107:0.000000
⇔:@0.300799:0.437807:0.319127:0.437807:0.319127:0.421635:0.300799:0.421635:0.000000
 :@0.319127:0.438269:0.322909:0.438269:0.322909:0.423206:0.319127:0.423206:0.000000
u:@0.153341:0.454217:0.161749:0.454217:0.161749:0.439180:0.153341:0.439180:0.000000
n:@0.161611:0.457165:0.166595:0.457165:0.166595:0.448398:0.161611:0.448398:0.000000
 =  ,  :@0.166595:0.454111:0.207549:0.454111:0.207549:0.439048:0.166595:0.439048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.184027:0.454217:0.192435:0.454217:0.192435:0.439180:0.184027:0.439180:0.000000
0:@0.192434:0.457103:0.196956:0.457103:0.196956:0.448321:0.192434:0.448321:0.000000
∀:@0.207548:0.460994:0.218068:0.460994:0.218068:0.443722:0.207548:0.443722:0.000000
n:@0.218075:0.454217:0.226624:0.454217:0.226624:0.439180:0.218075:0.439180:0.000000
    .:@0.226624:0.454111:0.263645:0.454111:0.263645:0.439048:0.226624:0.439048:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.230407:0.453612:0.243664:0.453612:0.243664:0.441512:0.230407:0.441512:0.000000
N:@0.247445:0.453227:0.261130:0.453227:0.261130:0.440949:0.247445:0.440949:0.000000
Es decir, se trata de una suce-:@0.153338:0.477082:0.342339:0.477082:0.342339:0.462019:0.153338:0.462019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sión constante que no tiene :@0.153338:0.492924:0.337996:0.492924:0.337996:0.477861:0.153338:0.477861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor interés.:@0.153338:0.508766:0.244330:0.508766:0.244330:0.493703:0.153338:0.493703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000