﻿34:@0.033433:0.964932:0.058413:0.964932:0.058413:0.944680:0.033433:0.944680:0.000000:0.000000
M.2.1.3. :@0.097512:0.948556:0.152593:0.948556:0.152593:0.935832:0.097512:0.935832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Describir y reproducir patrones numéricos basados en sumas y restas, contando hacia adelante y hacia atrás.:@0.152593:0.948597:0.874409:0.948597:0.874409:0.936134:0.152593:0.936134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TEMA 11:@0.123295:0.092707:0.251300:0.092707:0.251300:0.063558:0.123295:0.063558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la sucesión se forma sumando o :@0.333794:0.242072:0.911202:0.242072:0.911202:0.217147:0.333794:0.217147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
añadiendo una cantidad, es creciente.:@0.333794:0.264703:0.849921:0.264703:0.849921:0.239779:0.333794:0.239779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una sucesión se construye escribiendo un :@0.333794:0.672069:0.911202:0.672069:0.911202:0.647144:0.333794:0.647144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número inicial al que se suma o se resta un :@0.333794:0.694700:0.911264:0.694700:0.911264:0.669776:0.333794:0.669776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
patrón numérico.:@0.333794:0.717332:0.560605:0.717332:0.560605:0.692407:0.333794:0.692407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En los números de Fibonacci, el siguiente :@0.333794:0.762595:0.911229:0.762595:0.911229:0.737670:0.333794:0.737670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número se calcula sumando los dos que :@0.333794:0.785226:0.911309:0.785226:0.911309:0.760301:0.333794:0.760301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
están antes de él.:@0.333794:0.807857:0.575511:0.807857:0.575511:0.782933:0.333794:0.782933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0, 1, 1, 2,… El 2 se calcula sumando los dos :@0.333794:0.853120:0.911242:0.853120:0.911242:0.828195:0.333794:0.828195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903510:0.853120:0.911229:0.853120:0.911229:0.828195:0.903510:0.828195:0.000000
números que están delante de él (1+1), y :@0.333794:0.875752:0.911309:0.875752:0.911309:0.850827:0.333794:0.850827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así se forman los siguientes: 0, 1, 1, 2, 3, 5, 8, :@0.333794:0.898383:0.911253:0.898383:0.911253:0.873458:0.333794:0.873458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13, 21,...:@0.333794:0.921014:0.438865:0.921014:0.438865:0.896090:0.333794:0.896090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Construcción de sucesiones :@0.333794:0.082020:0.780226:0.082020:0.780226:0.052871:0.333794:0.052871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aritméticas:@0.333794:0.103384:0.509322:0.103384:0.509322:0.074235:0.333794:0.074235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mira:@0.333794:0.150794:0.385368:0.150794:0.385368:0.128528:0.333794:0.128528:0.000000:0.000000:0.000000:0.000000
 la ilustración. ¿Cuántas fichas serán :@0.385368:0.150865:0.807782:0.150865:0.807782:0.129056:0.385368:0.129056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesarias para la siguiente figura?  :@0.333794:0.172234:0.755434:0.172234:0.755434:0.150425:0.333794:0.150425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______________________________________________ :@0.333794:0.193603:0.891702:0.193603:0.891702:0.171794:0.333794:0.171794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda siempre:@0.065967:0.672069:0.310981:0.672069:0.310981:0.646158:0.065967:0.646158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Creciente - con suma:@0.383279:0.286016:0.589817:0.286016:0.589817:0.267203:0.383279:0.267203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Patrón + 12:@0.672091:0.375820:0.776179:0.375820:0.776179:0.357007:0.672091:0.357007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.411792:0.400486:0.422709:0.400486:0.422709:0.381886:0.411792:0.381886:0.000000
14:@0.464007:0.369202:0.484423:0.369202:0.484423:0.350602:0.464007:0.350602:0.000000:0.000000
26:@0.530822:0.345407:0.552657:0.345407:0.552657:0.326807:0.530822:0.326807:0.000000:0.000000
38:@0.606704:0.327453:0.628539:0.327453:0.628539:0.308853:0.606704:0.308853:0.000000:0.000000
50:@0.688509:0.314187:0.710344:0.314187:0.710344:0.295588:0.688509:0.295588:0.000000:0.000000
Decreciente - con resta:@0.593716:0.521051:0.816896:0.521051:0.816896:0.502238:0.593716:0.502238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
28:@0.731975:0.629612:0.753810:0.629612:0.753810:0.611012:0.731975:0.611012:0.000000:0.000000
37:@0.683283:0.600933:0.703982:0.600933:0.703982:0.582333:0.683283:0.582333:0.000000:0.000000
46:@0.616227:0.573713:0.638062:0.573713:0.638062:0.555113:0.616227:0.555113:0.000000:0.000000
55:@0.532730:0.552704:0.554565:0.552704:0.554565:0.534104:0.532730:0.534104:0.000000:0.000000
64:@0.413489:0.539627:0.435695:0.539627:0.435695:0.521027:0.413489:0.521027:0.000000:0.000000
Patrón – 9:@0.387469:0.599869:0.481729:0.599869:0.481729:0.581056:0.387469:0.581056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.333794:0.120957:0.453850:0.120957:0.453850:0.105343:0.333794:0.105343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La sucesión :@0.120399:0.741980:0.251118:0.738554:0.250177:0.718315:0.119457:0.721741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numérica que se :@0.093236:0.762825:0.280174:0.757925:0.279233:0.737686:0.092294:0.742585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtiene a través :@0.099003:0.782806:0.276276:0.778160:0.275334:0.757921:0.098061:0.762567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un patrón de :@0.098241:0.802959:0.278931:0.798223:0.277989:0.777984:0.097299:0.782720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma o de resta se :@0.085726:0.823420:0.293317:0.817979:0.292376:0.797740:0.084784:0.803181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llama sucesión :@0.108122:0.842966:0.272793:0.838650:0.271851:0.818411:0.107180:0.822727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aritmética.:@0.132128:0.862470:0.244370:0.859528:0.243428:0.839289:0.131187:0.842230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una sucesión :@0.067867:0.275776:0.216742:0.275776:0.216742:0.255525:0.067867:0.255525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aritmética puede :@0.067867:0.295897:0.259667:0.295897:0.259667:0.275646:0.067867:0.275646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formarse al sumar  :@0.067867:0.316018:0.271884:0.316018:0.271884:0.295766:0.067867:0.295766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o restar un mismo :@0.067867:0.336138:0.262977:0.336138:0.262977:0.315887:0.067867:0.315887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor al número :@0.067867:0.356259:0.239977:0.356259:0.239977:0.336007:0.067867:0.336007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
anterior. Ejemplos::@0.067867:0.376379:0.259272:0.376379:0.259272:0.356128:0.067867:0.356128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 :@0.067867:0.416571:0.087140:0.416571:0.087140:0.396124:0.067867:0.396124:0.000000:0.000000
         :@0.087140:0.416621:0.173907:0.416594:0.173907:0.396343:0.087140:0.396369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+4:@0.093412:0.409304:0.108344:0.409304:0.108344:0.397498:0.093412:0.397498:0.000000:0.000000
7 :@0.120888:0.416545:0.140161:0.416545:0.140161:0.396098:0.120888:0.396098:0.000000:0.000000
+4:@0.146434:0.409304:0.161365:0.409304:0.161365:0.397498:0.146434:0.397498:0.000000:0.000000
11 :@0.173907:0.416545:0.206030:0.416545:0.206030:0.396098:0.173907:0.396098:0.000000:0.000000:0.000000
    :@0.206030:0.416594:0.239778:0.416594:0.239778:0.396343:0.206030:0.396343:0.000000:0.000000:0.000000:0.000000
+4:@0.212302:0.409304:0.227234:0.409304:0.227234:0.397498:0.212302:0.397498:0.000000:0.000000
15...:@0.067861:0.436666:0.112964:0.436666:0.112964:0.416218:0.067861:0.416218:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.067861:0.456786:0.093560:0.456786:0.093560:0.436339:0.067861:0.436339:0.000000:0.000000
     :@0.093560:0.456835:0.132314:0.456828:0.132314:0.436576:0.093560:0.436584:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.106109:0.449538:0.119770:0.449538:0.119770:0.437731:0.106109:0.437731:0.000000:0.000000
9     7    5...:@0.132314:0.456779:0.268527:0.456779:0.268527:0.436331:0.132314:0.436331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.158013:0.449538:0.171674:0.449538:0.171674:0.437731:0.158013:0.437731:0.000000:0.000000
     :@0.178099:0.456828:0.236273:0.456828:0.236273:0.436576:0.178099:0.436576:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.209915:0.449538:0.223577:0.449538:0.223577:0.437731:0.209915:0.437731:0.000000:0.000000
Sabías que...:@0.067867:0.241731:0.235422:0.241731:0.235422:0.217440:0.067867:0.217440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tomada de: Archivo editorial:@0.239726:0.576822:0.239726:0.496383:0.228257:0.496383:0.228257:0.576822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la sucesión se forma restando o quitando :@0.333794:0.461880:0.911242:0.461880:0.911242:0.436955:0.333794:0.436955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una cantidad, es decreciente.:@0.333794:0.485135:0.729762:0.485135:0.729762:0.460210:0.333794:0.460210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se necesitan 15 fichas más. :@0.335617:0.191858:0.678893:0.191858:0.678893:0.168491:0.335617:0.168491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000