161:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, se indican los primeros cinco términos de la sucesión::@0.073089:0.136836:0.579185:0.136836:0.579185:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,      ,      ,     ,      ,  ... El recorrido de la sucesión es el conjunto:@0.073089:0.160620:0.505238:0.160620:0.505238:0.144186:0.073089:0.144186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  1,      , ... ,      , ...   ,   que escribiremos también como       |     :@0.073089:0.207633:0.510519:0.207633:0.510519:0.191200:0.073089:0.191200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.477496:0.207633:0.486994:0.207633:0.486994:0.191227:0.477496:0.191227:0.000000
∈ ℤ:@0.490878:0.208216:0.523091:0.208216:0.523091:0.190562:0.490878:0.190562:0.000000:0.000000:0.000000
+   :@0.522998:0.199059:0.536315:0.199059:0.536315:0.189478:0.522998:0.189478:0.000000:0.000000:0.000000:0.000000
.:@0.536256:0.207645:0.539588:0.207645:0.539588:0.191239:0.536256:0.191239:0.000000
Esta es una sucesión que tiene un número :@0.073093:0.249305:0.386119:0.249305:0.386119:0.232871:0.073093:0.232871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinito:@0.386126:0.249305:0.440422:0.249305:0.440422:0.232635:0.386126:0.232635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de términos. En la Figura 1 se :@0.440317:0.249305:0.660698:0.249305:0.660698:0.232871:0.440317:0.232871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestra la gráfica de algunos puntos de la sucesión ( ).:@0.073093:0.265947:0.478832:0.265944:0.478832:0.249510:0.073093:0.249513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.456129:0.265947:0.465388:0.265947:0.465388:0.249541:0.456129:0.249541:0.000000
n:@0.465326:0.269116:0.470864:0.269116:0.470864:0.259552:0.465326:0.259552:0.000000
Ejercicio 2:@0.073081:0.300448:0.149484:0.300448:0.149484:0.283779:0.073081:0.283779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea ( ) la sucesión definida como   = (–1) ,      . El conjunto de salida es el :@0.073081:0.327810:0.660700:0.327819:0.660700:0.311385:0.073081:0.311376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.108791:0.327810:0.116522:0.327810:0.116522:0.311404:0.108791:0.311404:0.000000
n:@0.116579:0.330991:0.122116:0.330991:0.122116:0.321427:0.116579:0.321427:0.000000
v:@0.330749:0.327819:0.338480:0.327819:0.338480:0.311413:0.330749:0.311413:0.000000
n:@0.338527:0.330991:0.344064:0.330991:0.344064:0.321427:0.338527:0.321427:0.000000
n:@0.392701:0.321754:0.398239:0.321754:0.398239:0.312189:0.392701:0.312189:0.000000
n:@0.406232:0.327819:0.415730:0.327819:0.415730:0.311413:0.406232:0.311413:0.000000
∈ ℕ:@0.420498:0.328401:0.455674:0.328401:0.455674:0.310747:0.420498:0.310747:0.000000:0.000000:0.000000
conjunto de los números naturales. Los primeros cinco términos de la sucesión :@0.073079:0.344461:0.660736:0.344461:0.660736:0.328027:0.073079:0.328027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son 1, –1, 1, –1, 1, ... El recorrido de la sucesión es el conjunto {(–1)  | :@0.073079:0.361103:0.563425:0.361103:0.563425:0.344669:0.073079:0.344669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.546109:0.355039:0.551646:0.355039:0.551646:0.345474:0.546109:0.345474:0.000000
n:@0.563333:0.361103:0.572831:0.361103:0.572831:0.344697:0.563333:0.344697:0.000000
∈ ℕ:@0.572758:0.361685:0.607013:0.361685:0.607013:0.344031:0.572758:0.344031:0.000000:0.000000:0.000000
  } = {–1, :@0.588367:0.361103:0.660615:0.361103:0.660615:0.344669:0.588367:0.344669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1}. Este es un ejemplo de sucesión que tiene un número finito de términos.:@0.073093:0.377744:0.615786:0.377744:0.615786:0.361311:0.073093:0.361311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la Figura 2 se muestra la gráfica de algunos puntos de la sucesión ( ). Nota que :@0.073093:0.405106:0.660560:0.405106:0.660560:0.388673:0.073093:0.388673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.565339:0.405106:0.573071:0.405106:0.573071:0.388700:0.565339:0.388700:0.000000
n:@0.572942:0.408279:0.578479:0.408279:0.578479:0.398714:0.572942:0.398714:0.000000
cuando   es par, se tiene   = (–1)  = 1; y cuando   es impar, resulta   = (–1)  = –1.:@0.073093:0.421748:0.656537:0.421748:0.656537:0.405314:0.073093:0.405314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.132088:0.421748:0.141586:0.421748:0.141586:0.405342:0.132088:0.405342:0.000000
v:@0.253134:0.421748:0.260865:0.421748:0.260865:0.405342:0.253134:0.405342:0.000000
n:@0.260778:0.424921:0.266315:0.424921:0.266315:0.415356:0.260778:0.415356:0.000000
n:@0.311786:0.415684:0.317324:0.415684:0.317324:0.406120:0.311786:0.406120:0.000000
n:@0.421281:0.421748:0.430779:0.421748:0.430779:0.405342:0.421281:0.405342:0.000000
v:@0.553224:0.421748:0.560955:0.421748:0.560955:0.405342:0.553224:0.405342:0.000000
n:@0.560883:0.424921:0.566421:0.424921:0.566421:0.415356:0.560883:0.415356:0.000000
n:@0.611891:0.415684:0.617429:0.415684:0.617429:0.406120:0.611891:0.406120:0.000000
Ejercicio 3:@0.073083:0.456252:0.149486:0.456252:0.149486:0.439583:0.073083:0.439583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera la sucesión ( ), definida como   =   + 1 + (–1) ,       .:@0.073083:0.483614:0.557662:0.483623:0.557662:0.467189:0.073083:0.467180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.238085:0.483614:0.247399:0.483614:0.247399:0.467208:0.238085:0.467208:0.000000
p:@0.247344:0.486795:0.252742:0.486795:0.252742:0.477231:0.247344:0.477231:0.000000
u:@0.374081:0.483623:0.383395:0.483623:0.383395:0.467217:0.374081:0.467217:0.000000
p:@0.383320:0.486795:0.388718:0.486795:0.388718:0.477231:0.383320:0.477231:0.000000
p:@0.407474:0.483623:0.416733:0.483623:0.416733:0.467217:0.407474:0.467217:0.000000
p:@0.490768:0.477559:0.496166:0.477559:0.496166:0.467994:0.490768:0.467994:0.000000
p:@0.507152:0.483623:0.516411:0.483623:0.516411:0.467217:0.507152:0.467217:0.000000
∈ ℕ:@0.520295:0.484206:0.554551:0.484206:0.554551:0.466551:0.520295:0.466551:0.000000:0.000000:0.000000
Para   = 0, se tiene   = 2; con   = 1, se tiene   = 1. Si   = 2, resulta:@0.073091:0.510985:0.554420:0.510986:0.554420:0.494552:0.073091:0.494551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.107549:0.510985:0.116808:0.510985:0.116808:0.494579:0.107549:0.494579:0.000000
u:@0.211882:0.510985:0.221196:0.510985:0.221196:0.494579:0.211882:0.494579:0.000000
0:@0.221139:0.514159:0.226376:0.514159:0.226376:0.504578:0.221139:0.504578:0.000000
p:@0.292669:0.510986:0.301928:0.510986:0.301928:0.494580:0.292669:0.494580:0.000000
u:@0.397002:0.510986:0.406316:0.510986:0.406316:0.494580:0.397002:0.494580:0.000000
1:@0.406262:0.514159:0.411220:0.514159:0.411220:0.504594:0.406262:0.504594:0.000000
p:@0.462133:0.510986:0.471392:0.510986:0.471392:0.494580:0.462133:0.494580:0.000000
u:@0.073096:0.538348:0.082410:0.538348:0.082410:0.521942:0.073096:0.521942:0.000000
2:@0.082517:0.541520:0.087475:0.541520:0.087475:0.531956:0.082517:0.531956:0.000000
 = 4; para   = 3, se obtiene   = 3, y así sucesivamente. El recorrido de esta :@0.087541:0.538348:0.660637:0.538348:0.660637:0.521914:0.087541:0.521914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.165035:0.538348:0.174294:0.538348:0.174294:0.521942:0.165035:0.521942:0.000000
u:@0.298543:0.538348:0.307857:0.538348:0.307857:0.521942:0.298543:0.521942:0.000000
3:@0.307981:0.541520:0.312939:0.541520:0.312939:0.531956:0.307981:0.531956:0.000000
sucesión es el conjunto :@0.073084:0.554990:0.247173:0.554990:0.247173:0.538556:0.073084:0.538556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{  + 1 + (–1)  |      } = {2, 1, 4, 3, 6, ...,   + 1 + (–1) , ...}.:@0.169667:0.582352:0.559990:0.582353:0.559990:0.565919:0.169667:0.565918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.174471:0.582352:0.183730:0.582352:0.183730:0.565946:0.174471:0.565946:0.000000
p:@0.257769:0.576289:0.263167:0.576289:0.263167:0.566725:0.257769:0.566725:0.000000
p:@0.274855:0.582353:0.284113:0.582353:0.284113:0.565947:0.274855:0.565947:0.000000
∈ ℕ:@0.287997:0.582936:0.322253:0.582936:0.322253:0.565282:0.287997:0.565282:0.000000:0.000000:0.000000
p:@0.446852:0.582353:0.456111:0.582353:0.456111:0.565947:0.446852:0.565947:0.000000
p:@0.530148:0.576289:0.535546:0.576289:0.535546:0.566725:0.530148:0.566725:0.000000
En la Figura 3 se muestra la gráfica de algunos puntos de la sucesión ( ).:@0.073081:0.609715:0.598304:0.609716:0.598304:0.593283:0.073081:0.593281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.575673:0.609715:0.584987:0.609715:0.584987:0.593309:0.575673:0.593309:0.000000
p:@0.584938:0.612889:0.590336:0.612889:0.590336:0.603324:0.584938:0.603324:0.000000
1.2 Sucesiones definidas por recurrencia:@0.073089:0.644221:0.388985:0.644221:0.388985:0.627274:0.073089:0.627274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea ( ) una sucesión real. En muchas situaciones, el término general de la :@0.073089:0.671582:0.660871:0.671591:0.660871:0.655157:0.073089:0.655149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.111211:0.671582:0.120470:0.671582:0.120470:0.655176:0.111211:0.655176:0.000000
n:@0.120700:0.674764:0.126237:0.674764:0.126237:0.665199:0.120700:0.665199:0.000000
sucesión ( ) se define como   = :@0.073087:0.688233:0.318306:0.688233:0.318306:0.671799:0.073087:0.671799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.145335:0.688233:0.154594:0.688233:0.154594:0.671827:0.145335:0.671827:0.000000
n:@0.154531:0.691406:0.160069:0.691406:0.160069:0.681841:0.154531:0.681841:0.000000
a:@0.284721:0.688233:0.293980:0.688233:0.293980:0.671827:0.284721:0.671827:0.000000
n:@0.293921:0.691406:0.299459:0.691406:0.299459:0.681841:0.293921:0.681841:0.000000
α:@0.318214:0.688233:0.328356:0.688233:0.328356:0.671564:0.318214:0.671564:0.000000
a:@0.328276:0.688233:0.337535:0.688233:0.337535:0.671827:0.328276:0.671827:0.000000
n:@0.337468:0.691406:0.343005:0.691406:0.343005:0.681841:0.337468:0.681841:0.000000
–1:@0.342962:0.691406:0.353522:0.691406:0.353522:0.681825:0.342962:0.681825:0.000000:0.000000
 +  , donde:@0.353475:0.688233:0.437909:0.688233:0.437909:0.671799:0.353475:0.671799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.372269:0.688233:0.382577:0.688233:0.382577:0.671564:0.372269:0.671564:0.000000
a:@0.073096:0.715595:0.082355:0.715595:0.082355:0.699189:0.073096:0.699189:0.000000
0:@0.082481:0.718768:0.087718:0.718768:0.087718:0.709186:0.082481:0.709186:0.000000
     está fijado,         constantes y     :@0.087813:0.715595:0.431163:0.715595:0.431163:0.699161:0.087813:0.699161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.093224:0.716178:0.128180:0.716178:0.128180:0.698523:0.093224:0.698523:0.000000:0.000000:0.000000
α β:@0.219866:0.715595:0.249355:0.715595:0.249355:0.698926:0.219866:0.698926:0.000000:0.000000:0.000000
,:@0.230174:0.715595:0.233506:0.715595:0.233506:0.699189:0.230174:0.699189:0.000000
∈ ℝ:@0.254932:0.716178:0.289887:0.716178:0.289887:0.698523:0.254932:0.698523:0.000000:0.000000:0.000000
n:@0.396208:0.715595:0.405706:0.715595:0.405706:0.699189:0.396208:0.699189:0.000000
∈ ℤ:@0.411246:0.716178:0.445189:0.716178:0.445189:0.698523:0.411246:0.698523:0.000000:0.000000:0.000000
+:@0.445348:0.707010:0.451743:0.707010:0.451743:0.697429:0.445348:0.697429:0.000000
. En tal caso, se dice que la:@0.451837:0.715595:0.656616:0.715595:0.656616:0.699161:0.451837:0.699161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión ( ) está definida por recurrencia. :@0.073089:0.732237:0.383012:0.732237:0.383012:0.715803:0.073089:0.715803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.145338:0.732237:0.154597:0.732237:0.154597:0.715831:0.145338:0.715831:0.000000
n:@0.154531:0.735409:0.160069:0.735409:0.160069:0.725845:0.154531:0.725845:0.000000
Otras formas de sucesiones definidas por :@0.073093:0.759599:0.374399:0.759599:0.374399:0.743165:0.073093:0.743165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recurrencia:@0.374051:0.759599:0.459542:0.759599:0.459542:0.742929:0.374051:0.742929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se indican a continuación::@0.459424:0.759599:0.652111:0.759599:0.652111:0.743165:0.459424:0.743165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Si   ≠ 0,    :@0.073089:0.795536:0.179042:0.795536:0.179042:0.779103:0.073089:0.779103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.119157:0.795536:0.128416:0.795536:0.128416:0.779130:0.119157:0.779130:0.000000
n:@0.128353:0.798709:0.133891:0.798709:0.133891:0.789144:0.128353:0.789144:0.000000
∀:@0.178637:0.796119:0.190915:0.796119:0.190915:0.778465:0.178637:0.778465:0.000000
n:@0.190822:0.795536:0.200321:0.795536:0.200321:0.779130:0.190822:0.779130:0.000000
    ,   =   +:@0.200247:0.795536:0.300618:0.795536:0.300618:0.779103:0.200247:0.779103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.203888:0.795935:0.218524:0.795935:0.218524:0.779083:0.203888:0.779083:0.000000
ℕ:@0.222081:0.796119:0.236402:0.796119:0.236402:0.778465:0.222081:0.778465:0.000000
a:@0.243084:0.795536:0.252343:0.795536:0.252343:0.779130:0.243084:0.779130:0.000000
n:@0.252267:0.798709:0.257805:0.798709:0.257805:0.789144:0.252267:0.789144:0.000000
α:@0.275934:0.795536:0.286076:0.795536:0.286076:0.778867:0.275934:0.778867:0.000000
β:@0.315633:0.787174:0.325941:0.787174:0.325941:0.770504:0.315633:0.770504:0.000000
a:@0.308160:0.803566:0.317419:0.803566:0.317419:0.787160:0.308160:0.787160:0.000000
n:@0.317357:0.806736:0.322894:0.806736:0.322894:0.797171:0.317357:0.797171:0.000000
–1:@0.322852:0.806736:0.333411:0.806736:0.333411:0.797155:0.322852:0.797155:0.000000:0.000000
 , donde   ≠ 0 ha sido fijado previamente, :@0.337309:0.795536:0.643687:0.795536:0.643687:0.779103:0.337309:0.779103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.399580:0.795536:0.408839:0.795536:0.408839:0.779130:0.399580:0.779130:0.000000
0:@0.408764:0.798709:0.414001:0.798709:0.414001:0.789128:0.408764:0.789128:0.000000
α:@0.643144:0.795536:0.653286:0.795536:0.653286:0.778867:0.643144:0.778867:0.000000
,:@0.653212:0.795536:0.656544:0.795536:0.656544:0.779130:0.653212:0.779130:0.000000
β :@0.103209:0.820751:0.117346:0.820751:0.117346:0.804082:0.103209:0.804082:0.000000:0.000000
∈ ℝ:@0.117273:0.821334:0.150130:0.821334:0.150130:0.803680:0.117273:0.803680:0.000000:0.000000:0.000000
   constantes y     :@0.132514:0.820751:0.282146:0.820751:0.282146:0.804317:0.132514:0.804317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.249124:0.820751:0.258622:0.820751:0.258622:0.804345:0.249124:0.804345:0.000000
∈ ℤ:@0.262506:0.821334:0.294719:0.821334:0.294719:0.803680:0.262506:0.803680:0.000000:0.000000:0.000000
+:@0.294599:0.812166:0.300995:0.812166:0.300995:0.802585:0.294599:0.802585:0.000000
.:@0.300948:0.820751:0.304151:0.820751:0.304151:0.804317:0.300948:0.804317:0.000000
2. Si   ≠ 0,    :@0.073089:0.848072:0.190326:0.848072:0.190326:0.831638:0.073089:0.831638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.121256:0.848072:0.130514:0.848072:0.130514:0.831666:0.121256:0.831666:0.000000
n:@0.130632:0.851244:0.136170:0.851244:0.136170:0.841679:0.130632:0.841679:0.000000
∀:@0.191570:0.848654:0.203848:0.848654:0.203848:0.831000:0.191570:0.831000:0.000000
n:@0.204013:0.848072:0.213512:0.848072:0.213512:0.831666:0.204013:0.831666:0.000000
    , :@0.213622:0.848072:0.260867:0.848072:0.260867:0.831638:0.213622:0.831638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.218923:0.848470:0.233560:0.848470:0.233560:0.831618:0.218923:0.831618:0.000000
ℕ:@0.238999:0.848654:0.253320:0.848654:0.253320:0.831000:0.238999:0.831000:0.000000
a:@0.262118:0.848072:0.271377:0.848072:0.271377:0.831666:0.262118:0.831666:0.000000
n:@0.271506:0.851244:0.277044:0.851244:0.277044:0.841679:0.271506:0.841679:0.000000
+1:@0.277108:0.851244:0.288827:0.851244:0.288827:0.841663:0.277108:0.841663:0.000000:0.000000
 = :@0.288911:0.848072:0.309352:0.848072:0.309352:0.831638:0.288911:0.831638:0.000000:0.000000:0.000000
α:@0.310613:0.848072:0.320756:0.848072:0.320756:0.831402:0.310613:0.831402:0.000000
a:@0.320903:0.848072:0.330162:0.848072:0.330162:0.831666:0.320903:0.831666:0.000000
n:@0.330265:0.851244:0.335803:0.851244:0.335803:0.841679:0.330265:0.841679:0.000000
 + :@0.335871:0.848072:0.356313:0.848072:0.356313:0.831638:0.335871:0.831638:0.000000:0.000000:0.000000
β:@0.360716:0.840602:0.371024:0.840602:0.371024:0.823932:0.360716:0.823932:0.000000
a:@0.358507:0.856994:0.367766:0.856994:0.367766:0.840588:0.358507:0.840588:0.000000
n:@0.367697:0.860164:0.373235:0.860164:0.373235:0.850599:0.367697:0.850599:0.000000
, donde  ,     :@0.379607:0.848072:0.506076:0.848072:0.506076:0.831638:0.379607:0.831638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.442873:0.848072:0.475452:0.848072:0.475452:0.831666:0.442873:0.831666:0.000000:0.000000:0.000000
0:@0.452240:0.851244:0.457477:0.851244:0.457477:0.841663:0.452240:0.841663:0.000000
1:@0.475574:0.851244:0.480811:0.851244:0.480811:0.841663:0.475574:0.841663:0.000000
∈ ℝ:@0.486178:0.848654:0.520986:0.848654:0.520986:0.831000:0.486178:0.831000:0.000000:0.000000:0.000000
+:@0.521165:0.839486:0.527561:0.839486:0.527561:0.829905:0.521165:0.829905:0.000000
 dados,   :@0.527643:0.848072:0.604898:0.848072:0.604898:0.831638:0.527643:0.831638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α β :@0.587135:0.848072:0.620498:0.848072:0.620498:0.831402:0.587135:0.831402:0.000000:0.000000:0.000000:0.000000
,:@0.597425:0.848072:0.600757:0.848072:0.600757:0.831666:0.597425:0.831666:0.000000
∈ ℝ :@0.621723:0.848654:0.661151:0.848654:0.661151:0.831000:0.621723:0.831000:0.000000:0.000000:0.000000:0.000000
 :@0.637590:0.848072:0.641621:0.848072:0.641621:0.831638:0.637590:0.831638:0.000000
constantes y     :@0.103227:0.868250:0.231378:0.868250:0.231378:0.851816:0.103227:0.851816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.198356:0.868250:0.207854:0.868250:0.207854:0.851844:0.198356:0.851844:0.000000
∈ ℤ:@0.211738:0.868832:0.243950:0.868832:0.243950:0.851178:0.211738:0.851178:0.000000:0.000000:0.000000
+:@0.243835:0.859658:0.250231:0.859658:0.250231:0.850077:0.243835:0.850077:0.000000
.:@0.250184:0.868244:0.253387:0.868244:0.253387:0.851810:0.250184:0.851810:0.000000
3. Si :@0.073089:0.892033:0.119562:0.892033:0.119562:0.875599:0.073089:0.875599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.119470:0.892033:0.128729:0.892033:0.128729:0.875626:0.119470:0.875626:0.000000
n:@0.128660:0.895205:0.134198:0.895205:0.134198:0.885640:0.128660:0.885640:0.000000
+1:@0.134155:0.895205:0.145745:0.895205:0.145745:0.885624:0.134155:0.885624:0.000000:0.000000
 = :@0.145698:0.892033:0.164583:0.892033:0.164583:0.875599:0.145698:0.875599:0.000000:0.000000:0.000000
α:@0.164491:0.892033:0.174634:0.892033:0.174634:0.875363:0.164491:0.875363:0.000000
a:@0.174560:0.892033:0.183819:0.892033:0.183819:0.875626:0.174560:0.875626:0.000000
n:@0.183745:0.895205:0.189283:0.895205:0.189283:0.885640:0.183745:0.885640:0.000000
 + :@0.189244:0.892033:0.208130:0.892033:0.208130:0.875599:0.189244:0.875599:0.000000:0.000000:0.000000
β:@0.208038:0.892033:0.218346:0.892033:0.218346:0.875363:0.208038:0.875363:0.000000
a:@0.218272:0.892033:0.227531:0.892033:0.227531:0.875626:0.218272:0.875626:0.000000
n:@0.227459:0.895205:0.232997:0.895205:0.232997:0.885640:0.227459:0.885640:0.000000
–1:@0.232954:0.895205:0.243513:0.895205:0.243513:0.885624:0.232954:0.885624:0.000000:0.000000
, donde  , :@0.243467:0.892033:0.324243:0.892033:0.324243:0.875599:0.243467:0.875599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.302701:0.892033:0.333410:0.892033:0.333410:0.875626:0.302701:0.875626:0.000000:0.000000:0.000000
0:@0.311893:0.895205:0.317130:0.895205:0.317130:0.885624:0.311893:0.885624:0.000000
1:@0.333348:0.895205:0.338585:0.895205:0.338585:0.885624:0.333348:0.885624:0.000000
∈ ℝ:@0.338537:0.892615:0.371762:0.892615:0.371762:0.874961:0.338537:0.874961:0.000000:0.000000:0.000000
 :@0.354146:0.892033:0.358178:0.892033:0.358178:0.875599:0.354146:0.875599:0.000000
+:@0.371663:0.883447:0.378059:0.883447:0.378059:0.873866:0.371663:0.873866:0.000000
 dados,   :@0.378012:0.892033:0.450831:0.892033:0.450831:0.875599:0.378012:0.875599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α β :@0.433473:0.892033:0.464894:0.892033:0.464894:0.875363:0.433473:0.875363:0.000000:0.000000:0.000000:0.000000
,:@0.443542:0.892033:0.446874:0.892033:0.446874:0.875626:0.443542:0.875626:0.000000
∈ ℝ:@0.464821:0.892615:0.498046:0.892615:0.498046:0.874961:0.464821:0.874961:0.000000:0.000000:0.000000
   constantes y     :@0.480430:0.892033:0.630063:0.892033:0.630063:0.875599:0.480430:0.875599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.597040:0.892033:0.606538:0.892033:0.606538:0.875626:0.597040:0.875626:0.000000
∈ ℤ:@0.610422:0.892615:0.642635:0.892615:0.642635:0.874961:0.610422:0.874961:0.000000:0.000000:0.000000
+:@0.642511:0.883447:0.648907:0.883447:0.648907:0.873866:0.642511:0.873866:0.000000
.:@0.648860:0.892033:0.652063:0.892033:0.652063:0.875599:0.648860:0.875599:0.000000
4. Si   > 0,   :@0.073089:0.920613:0.183510:0.920613:0.183510:0.904179:0.073089:0.904179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.120924:0.920613:0.130183:0.920613:0.130183:0.904207:0.120924:0.904207:0.000000
n:@0.130260:0.923785:0.135797:0.923785:0.135797:0.914220:0.130260:0.914220:0.000000
∀:@0.184495:0.921195:0.196773:0.921195:0.196773:0.903541:0.184495:0.903541:0.000000
n:@0.196883:0.920613:0.206381:0.920613:0.206381:0.904207:0.196883:0.904207:0.000000
    , :@0.206455:0.920613:0.253063:0.920613:0.253063:0.904179:0.206455:0.904179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.211507:0.921011:0.226143:0.921011:0.226143:0.904159:0.211507:0.904159:0.000000
ℕ:@0.231296:0.921195:0.245617:0.921195:0.245617:0.903541:0.231296:0.903541:0.000000
a:@0.254066:0.920613:0.263325:0.920613:0.263325:0.904207:0.254066:0.904207:0.000000
n:@0.263410:0.923785:0.268948:0.923785:0.268948:0.914220:0.263410:0.914220:0.000000
+1:@0.268991:0.923785:0.280683:0.923785:0.280683:0.914204:0.268991:0.914204:0.000000:0.000000
 = :@0.280747:0.920613:0.300893:0.920613:0.300893:0.904179:0.280747:0.904179:0.000000:0.000000:0.000000
α:@0.301897:0.920613:0.312039:0.920613:0.312039:0.903943:0.301897:0.903943:0.000000
a:@0.312131:0.920613:0.321390:0.920613:0.321390:0.904207:0.312131:0.904207:0.000000
n:@0.321475:0.923785:0.327013:0.923785:0.327013:0.914220:0.321475:0.914220:0.000000
 + :@0.327061:0.920613:0.347208:0.920613:0.347208:0.904179:0.327061:0.904179:0.000000:0.000000:0.000000
β:@0.359658:0.913143:0.369967:0.913143:0.369967:0.896474:0.359658:0.896474:0.000000
a:@0.352185:0.929535:0.361444:0.929535:0.361444:0.913129:0.352185:0.913129:0.000000
n:@0.361380:0.932705:0.366918:0.932705:0.366918:0.923140:0.361380:0.923140:0.000000
–1:@0.366875:0.932705:0.377435:0.932705:0.377435:0.923124:0.366875:0.923124:0.000000:0.000000
donde  ,     :@0.391602:0.920613:0.508249:0.920613:0.508249:0.904179:0.391602:0.904179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.445763:0.920613:0.477980:0.920613:0.477980:0.904207:0.445763:0.904207:0.000000:0.000000:0.000000
0:@0.455088:0.923785:0.460325:0.923785:0.460325:0.914204:0.455088:0.914204:0.000000
1:@0.478067:0.923785:0.483304:0.923785:0.483304:0.914204:0.478067:0.914204:0.000000
∈ ℝ:@0.488406:0.921195:0.522919:0.921195:0.522919:0.903541:0.488406:0.903541:0.000000:0.000000:0.000000
+:@0.523028:0.912027:0.529424:0.912027:0.529424:0.902446:0.523028:0.902446:0.000000
 dados, :@0.529484:0.920613:0.587207:0.920613:0.587207:0.904179:0.529484:0.904179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α  β :@0.588203:0.920613:0.621023:0.920613:0.621023:0.903943:0.588203:0.903943:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.598437:0.920613:0.601769:0.920613:0.601769:0.904207:0.598437:0.904207:0.000000
∈ ℝ:@0.621999:0.921195:0.656512:0.921195:0.656512:0.903541:0.621999:0.903541:0.000000:0.000000:0.000000
 :@0.637811:0.920613:0.641842:0.920613:0.641842:0.904179:0.637811:0.904179:0.000000
constantes y     :@0.103210:0.942045:0.231361:0.942045:0.231361:0.925612:0.103210:0.925612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.198338:0.942045:0.207836:0.942045:0.207836:0.925639:0.198338:0.925639:0.000000
∈ ℤ:@0.211720:0.942628:0.243933:0.942628:0.243933:0.924974:0.211720:0.924974:0.000000:0.000000:0.000000
+:@0.243835:0.933460:0.250231:0.933460:0.250231:0.923879:0.243835:0.923879:0.000000
.:@0.250184:0.942045:0.253387:0.942045:0.253387:0.925612:0.250184:0.925612:0.000000
1:@0.102577:0.201670:0.111560:0.201670:0.111560:0.185236:0.102577:0.185236:0.000000
2:@0.102577:0.218062:0.111560:0.218062:0.111560:0.201628:0.102577:0.201628:0.000000
1:@0.154808:0.201670:0.163790:0.201670:0.163790:0.185236:0.154808:0.185236:0.000000
n:@0.154550:0.218062:0.164048:0.218062:0.164048:0.201656:0.154550:0.201656:0.000000
1:@0.450195:0.202077:0.459178:0.202077:0.459178:0.185643:0.450195:0.185643:0.000000
n:@0.449938:0.218469:0.459436:0.218469:0.459436:0.202063:0.449938:0.202063:0.000000
1:@0.094210:0.153246:0.103193:0.153246:0.103193:0.136812:0.094210:0.136812:0.000000
2:@0.094210:0.169638:0.103193:0.169638:0.103193:0.153204:0.094210:0.153204:0.000000
1 1 1:@0.122658:0.153246:0.181368:0.153246:0.181368:0.136812:0.122658:0.136812:0.000000:0.000000:0.000000:0.000000:0.000000
3 4 5:@0.122658:0.169638:0.181368:0.169638:0.181368:0.153204:0.122658:0.153204:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.:@0.700015:0.329612:0.744375:0.329612:0.744375:0.317660:0.700015:0.317660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 3.:@0.700015:0.716471:0.744375:0.716471:0.744375:0.704519:0.700015:0.704519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 2.:@0.700015:0.504011:0.744375:0.504011:0.744375:0.492059:0.700015:0.492059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.735653:0.302673:0.742521:0.302673:0.742521:0.290550:0.735653:0.290550:0.000000
0:@0.735653:0.689530:0.742521:0.689530:0.742521:0.677407:0.735653:0.677407:0.000000
0:@0.704882:0.441539:0.715183:0.441539:0.715183:0.423354:0.704882:0.423354:0.000000
1:@0.730633:0.154129:0.737501:0.154129:0.737501:0.142005:0.730633:0.142005:0.000000
6:@0.730633:0.576730:0.737501:0.576730:0.737501:0.564607:0.730633:0.564607:0.000000
5:@0.730633:0.594603:0.737501:0.594603:0.737501:0.582479:0.730633:0.582479:0.000000
4:@0.730633:0.612475:0.737501:0.612475:0.737501:0.600352:0.730633:0.600352:0.000000
3:@0.730633:0.630347:0.737501:0.630347:0.737501:0.618224:0.730633:0.618224:0.000000
2:@0.730633:0.648220:0.737501:0.648220:0.737501:0.636096:0.730633:0.636096:0.000000
1:@0.730633:0.666092:0.737501:0.666092:0.737501:0.653969:0.730633:0.653969:0.000000
1:@0.703906:0.396837:0.714207:0.396837:0.714207:0.378652:0.703906:0.378652:0.000000
–1:@0.695552:0.471937:0.715894:0.471937:0.715894:0.453752:0.695552:0.453752:0.000000:0.000000
y:@0.733926:0.137609:0.739362:0.137609:0.739362:0.125677:0.733926:0.125677:0.000000
y:@0.733926:0.557689:0.739362:0.557689:0.739362:0.545758:0.733926:0.545758:0.000000
y:@0.705320:0.374227:0.713473:0.374227:0.713473:0.356329:0.705320:0.356329:0.000000
x:@0.915092:0.304926:0.920514:0.304926:0.920514:0.292995:0.915092:0.292995:0.000000
x:@0.915092:0.691783:0.920514:0.691783:0.920514:0.679852:0.915092:0.679852:0.000000
x:@0.917119:0.443792:0.925251:0.443792:0.925251:0.425895:0.917119:0.425895:0.000000
1:@0.768146:0.305120:0.775013:0.305120:0.775013:0.292997:0.768146:0.292997:0.000000
1:@0.768146:0.691978:0.775013:0.691978:0.775013:0.679854:0.768146:0.679854:0.000000
1:@0.763407:0.440202:0.770274:0.440202:0.770274:0.428078:0.763407:0.428078:0.000000
2:@0.810837:0.440202:0.817705:0.440202:0.817705:0.428078:0.810837:0.428078:0.000000
3:@0.858267:0.440202:0.865135:0.440202:0.865135:0.428078:0.858267:0.428078:0.000000
4:@0.905698:0.440202:0.912566:0.440202:0.912566:0.428078:0.905698:0.428078:0.000000
2:@0.791560:0.305120:0.798427:0.305120:0.798427:0.292997:0.791560:0.292997:0.000000
2:@0.791560:0.691978:0.798427:0.691978:0.798427:0.679854:0.791560:0.679854:0.000000
3:@0.815442:0.305120:0.822310:0.305120:0.822310:0.292997:0.815442:0.292997:0.000000
3:@0.815442:0.691978:0.822310:0.691978:0.822310:0.679854:0.815442:0.679854:0.000000
4:@0.838870:0.305120:0.845737:0.305120:0.845737:0.292997:0.838870:0.292997:0.000000
4:@0.838870:0.691978:0.845737:0.691978:0.845737:0.679854:0.838870:0.679854:0.000000
5:@0.862752:0.305120:0.869620:0.305120:0.869620:0.292997:0.862752:0.292997:0.000000
5:@0.862752:0.691978:0.869620:0.691978:0.869620:0.679854:0.862752:0.679854:0.000000
1:@0.730255:0.218915:0.737105:0.218915:0.737105:0.206821:0.730255:0.206821:0.000000
2:@0.730255:0.231370:0.737105:0.231370:0.737105:0.219277:0.730255:0.219277:0.000000
1:@0.730255:0.255090:0.737105:0.255090:0.737105:0.242997:0.730255:0.242997:0.000000
4:@0.730255:0.267545:0.737105:0.267545:0.737105:0.255453:0.730255:0.255453:0.000000
Infinito.:@0.747117:0.779625:0.799699:0.778587:0.799172:0.763438:0.746590:0.764476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Valor mayor :@0.799608:0.778590:0.884543:0.776914:0.884024:0.761979:0.799089:0.763655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que cualquier cantidad :@0.747640:0.794749:0.903748:0.791669:0.903229:0.776734:0.747121:0.779814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asignable.:@0.748166:0.809873:0.814045:0.808573:0.813526:0.793638:0.747647:0.794938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recurrencia.:@0.748940:0.832143:0.833789:0.830469:0.833262:0.815320:0.748414:0.816994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Propiedad :@0.833685:0.830471:0.908733:0.828990:0.908214:0.814055:0.833166:0.815536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de aquellas secuencias :@0.749466:0.847267:0.903415:0.844229:0.902896:0.829294:0.748947:0.832332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en las que cualquier :@0.749992:0.862390:0.885875:0.859709:0.885355:0.844775:0.749472:0.847456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término se puede :@0.750517:0.877514:0.871582:0.875125:0.871063:0.860191:0.749998:0.862579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular al conocer los :@0.751043:0.892638:0.899807:0.889703:0.899288:0.874768:0.750524:0.877703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precedentes.:@0.751569:0.907762:0.836812:0.906080:0.836293:0.891145:0.751050:0.892827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.783788:0.754311:0.843408:0.754311:0.843408:0.738905:0.783788:0.738905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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