﻿72:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Progresión aritmética. Definición:@0.287495:0.442351:0.620322:0.442351:0.620322:0.420841:0.287495:0.420841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una sucesión de números en la que cada término, a partir del segundo, se obtiene :@0.287495:0.465132:0.907676:0.465132:0.907676:0.448743:0.287495:0.448743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumando al término anterior una cantidad fija llamada diferencia.:@0.287495:0.481729:0.764764:0.481729:0.764764:0.465340:0.287495:0.465340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La diferencia, que se denota  , puede ser positiva, negativa o cero y se obtiene restando :@0.287495:0.505448:0.907696:0.505448:0.907696:0.489059:0.287495:0.489059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.487822:0.505448:0.497091:0.505448:0.497091:0.489086:0.487822:0.489086:0.000000
dos términos consecutivos de la progresión. :@0.287495:0.522044:0.614232:0.522044:0.614232:0.505655:0.287495:0.505655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.548689:0.545763:0.557958:0.545763:0.557958:0.529402:0.548689:0.529402:0.000000
 =   – :@0.557958:0.545763:0.609108:0.545774:0.609108:0.529385:0.557958:0.529374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.577012:0.545763:0.586281:0.545763:0.586281:0.529402:0.577012:0.529402:0.000000
n:@0.586279:0.548938:0.591823:0.548938:0.591823:0.539399:0.586279:0.539399:0.000000
a:@0.609108:0.545774:0.618377:0.545774:0.618377:0.529413:0.609108:0.529413:0.000000
n:@0.618377:0.548938:0.623921:0.548938:0.623921:0.539399:0.618377:0.539399:0.000000
 – 1:@0.623921:0.548938:0.639240:0.548938:0.639240:0.539383:0.623921:0.539383:0.000000:0.000000:0.000000:0.000000
. :@0.639240:0.545774:0.646483:0.545774:0.646483:0.529385:0.639240:0.529385:0.000000:0.000000
Si   es positiva la progresión es creciente, si es negativa es decreciente y si   = 0, la :@0.287494:0.569493:0.907667:0.569493:0.907667:0.553104:0.287494:0.553104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.304724:0.569493:0.313993:0.569493:0.313993:0.553132:0.304724:0.553132:0.000000
d:@0.844395:0.569493:0.853664:0.569493:0.853664:0.553132:0.844395:0.553132:0.000000
progresión es constante.:@0.287475:0.586090:0.467272:0.586090:0.467272:0.569701:0.287475:0.569701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Término n-ésimo:@0.287495:0.611643:0.433682:0.611643:0.433682:0.593206:0.287495:0.593206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   es el primer término de la progresión,   el número del término y   la diferencia, :@0.287495:0.635053:0.907753:0.635053:0.907753:0.618664:0.287495:0.618664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.304099:0.635053:0.313368:0.635053:0.313368:0.618691:0.304099:0.618691:0.000000
1:@0.313363:0.638216:0.318605:0.638216:0.318605:0.628662:0.313363:0.628662:0.000000
n:@0.602740:0.635053:0.612249:0.635053:0.612249:0.618691:0.602740:0.618691:0.000000
d:@0.798716:0.635053:0.807986:0.635053:0.807986:0.618691:0.798716:0.618691:0.000000
 :@0.903717:0.635053:0.907753:0.635053:0.907753:0.618664:0.903717:0.618664:0.000000
el término n-ésimo o término general   se calcula mediante la expresión: :@0.287499:0.651649:0.830898:0.651649:0.830898:0.635260:0.287499:0.635260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.567558:0.651649:0.576827:0.651649:0.576827:0.635288:0.567558:0.635288:0.000000
n:@0.576821:0.654813:0.582365:0.654813:0.582365:0.645274:0.576821:0.645274:0.000000
a:@0.534434:0.675368:0.543703:0.675368:0.543703:0.659007:0.534434:0.659007:0.000000
n:@0.543710:0.678537:0.549253:0.678537:0.549253:0.668998:0.543710:0.668998:0.000000
 =   + (  – 1):@0.549253:0.675373:0.647426:0.675373:0.647426:0.658984:0.549253:0.658984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.568307:0.675373:0.577577:0.675373:0.577577:0.659012:0.568307:0.659012:0.000000
1:@0.577577:0.678537:0.582819:0.678537:0.582819:0.668982:0.577577:0.668982:0.000000
n:@0.606756:0.675373:0.616265:0.675373:0.616265:0.659012:0.606756:0.659012:0.000000
d:@0.647426:0.675373:0.656695:0.675373:0.656695:0.659012:0.647426:0.659012:0.000000
Suma de los   primeros términos de una progresión aritmética.:@0.287497:0.706228:0.786385:0.706228:0.786385:0.689328:0.287497:0.689328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.387006:0.706228:0.397142:0.706228:0.397142:0.690573:0.387006:0.690573:0.000000
La suma de los   términos de una progresión aritmética es::@0.287497:0.726393:0.718534:0.726393:0.718534:0.710004:0.287497:0.710004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.399924:0.726393:0.409433:0.726393:0.409433:0.710032:0.399924:0.710032:0.000000
S:@0.487271:0.750112:0.495342:0.750112:0.495342:0.733751:0.487271:0.733751:0.000000
n:@0.495339:0.753275:0.500883:0.753275:0.500883:0.743736:0.495339:0.743736:0.000000
 =   +   + … + :@0.500882:0.750111:0.624550:0.750111:0.624550:0.733722:0.500882:0.733722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.519937:0.750111:0.529206:0.750111:0.529206:0.733750:0.519937:0.733750:0.000000
1:@0.529206:0.753275:0.534448:0.753275:0.534448:0.743720:0.529206:0.743720:0.000000
a:@0.553502:0.750111:0.562771:0.750111:0.562771:0.733750:0.553502:0.733750:0.000000
2:@0.562771:0.753275:0.568013:0.753275:0.568013:0.743720:0.562771:0.743720:0.000000
a:@0.624550:0.750111:0.633819:0.750111:0.633819:0.733750:0.624550:0.733750:0.000000
n:@0.633818:0.753275:0.639361:0.753275:0.639361:0.743736:0.633818:0.743736:0.000000
 – 2:@0.639361:0.753275:0.654681:0.753275:0.654681:0.743720:0.639361:0.743720:0.000000:0.000000:0.000000:0.000000
 + :@0.654681:0.750111:0.673735:0.750111:0.673735:0.733722:0.654681:0.733722:0.000000:0.000000:0.000000
a:@0.673735:0.750111:0.683004:0.750111:0.683004:0.733750:0.673735:0.733750:0.000000
n:@0.683004:0.753275:0.688548:0.753275:0.688548:0.743736:0.683004:0.743736:0.000000
 – 1:@0.688548:0.753275:0.703868:0.753275:0.703868:0.743720:0.688548:0.743720:0.000000:0.000000:0.000000:0.000000
Cálculo que se puede realizar mediante las expresiones::@0.287495:0.773835:0.694481:0.773835:0.694481:0.757446:0.287495:0.757446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.460449:0.801274:0.468520:0.801274:0.468520:0.784913:0.460449:0.784913:0.000000
n:@0.494111:0.792512:0.503620:0.792512:0.503620:0.776151:0.494111:0.776151:0.000000
a:@0.517774:0.801274:0.527043:0.801274:0.527043:0.784913:0.517774:0.784913:0.000000
a:@0.547240:0.801274:0.556509:0.801274:0.556509:0.784913:0.547240:0.784913:0.000000
S:@0.578714:0.801274:0.586785:0.801274:0.586785:0.784913:0.578714:0.784913:0.000000
n:@0.612373:0.792512:0.621882:0.792512:0.621882:0.776151:0.612373:0.776151:0.000000
a:@0.645405:0.801274:0.654674:0.801274:0.654674:0.784913:0.645405:0.784913:0.000000
n:@0.679810:0.801274:0.689318:0.801274:0.689318:0.784913:0.679810:0.784913:0.000000
d:@0.713882:0.801274:0.723152:0.801274:0.723152:0.784913:0.713882:0.784913:0.000000
n:@0.468512:0.803278:0.474022:0.803278:0.474022:0.793796:0.468512:0.793796:0.000000
n:@0.556202:0.803278:0.561713:0.803278:0.561713:0.793796:0.556202:0.793796:0.000000
n:@0.586778:0.803278:0.592289:0.803278:0.592289:0.793796:0.586778:0.793796:0.000000
=⋅:@0.479347:0.801952:0.511116:0.801952:0.511116:0.786379:0.479347:0.786379:0.000000:0.000000
+:@0.534262:0.801952:0.544378:0.801952:0.544378:0.786379:0.534262:0.786379:0.000000
= ⋅:@0.597616:0.801952:0.629385:0.801952:0.629385:0.786379:0.597616:0.786379:0.000000:0.000000:0.000000
+:@0.661891:0.801952:0.672008:0.801952:0.672008:0.786379:0.661891:0.786379:0.000000
−:@0.691634:0.801952:0.701750:0.801952:0.701750:0.786379:0.691634:0.786379:0.000000
[:@0.630276:0.804321:0.636413:0.804321:0.636413:0.783671:0.630276:0.783671:0.000000
]:@0.724607:0.804321:0.730744:0.804321:0.730744:0.783671:0.724607:0.783671:0.000000
2:@0.494269:0.812118:0.503261:0.812118:0.503261:0.795729:0.494269:0.795729:0.000000
2:@0.612537:0.812118:0.621530:0.812118:0.621530:0.795729:0.612537:0.795729:0.000000
2:@0.636770:0.801275:0.645762:0.801275:0.645762:0.784886:0.636770:0.784886:0.000000
1):@0.702888:0.801275:0.714157:0.801274:0.714157:0.784885:0.702888:0.784886:0.000000:0.000000
1:@0.525889:0.803278:0.531100:0.803278:0.531100:0.793780:0.525889:0.793780:0.000000
1:@0.653521:0.803278:0.658733:0.803278:0.658733:0.793780:0.653521:0.793780:0.000000
(:@0.512277:0.801274:0.517161:0.801274:0.517161:0.784885:0.512277:0.784885:0.000000
); :@0.564114:0.801274:0.578714:0.801274:0.578714:0.784885:0.564114:0.784885:0.000000:0.000000:0.000000
(:@0.674305:0.801274:0.679188:0.801274:0.679188:0.784885:0.674305:0.784885:0.000000
Interpolación de medios aritméticos:@0.287495:0.844260:0.574447:0.844260:0.574447:0.827359:0.287495:0.827359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La interpolación de medios aritméticos consiste en insertar un número determinado :@0.287495:0.864425:0.907657:0.864425:0.907657:0.848036:0.287495:0.848036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de términos entre dos números dados, de modo que todos ellos formen una progre-:@0.287495:0.881021:0.903642:0.881021:0.903642:0.864632:0.287495:0.864632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sión aritmética.:@0.287495:0.897617:0.398780:0.897617:0.398780:0.881228:0.287495:0.881228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.411223:0.480398:0.411223:0.480398:0.395859:0.306727:0.395859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.412009:0.297460:0.412009:0.297460:0.394873:0.284892:0.394873:0.000000
Pienso y progreso:@0.294883:0.361874:0.417347:0.361874:0.417347:0.346510:0.294883:0.346510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Averigua cómo es el crecimiento de la población de las bacterias.:@0.294883:0.380526:0.728898:0.380526:0.728898:0.365627:0.294883:0.365627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
El estudio del crecimiento bacteriano es fundamental en biología, ya que permite :@0.287495:0.168345:0.907748:0.168345:0.907748:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entender cómo se optimizan los procesos en biotecnología. :@0.287495:0.184941:0.730820:0.184941:0.730820:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un laboratorio, se estudia el crecimiento de una colonia de bacterias. Se observa :@0.287495:0.208660:0.907602:0.208660:0.907602:0.192271:0.287495:0.192271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que cada hora se agregan 30 bacterias más respecto de la hora anterior. :@0.287495:0.225257:0.816546:0.225257:0.816546:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si al inicio hay 100 bacterias, responde las siguientes preguntas.:@0.287495:0.248976:0.751864:0.248976:0.751864:0.232587:0.287495:0.232587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.287495:0.272695:0.302403:0.272695:0.302403:0.255794:0.287495:0.255794:0.000000:0.000000
  Escribe la sucesión que muestra el crecimiento de las bacterias durante las 6 pri-:@0.302403:0.272695:0.903640:0.272695:0.903640:0.256306:0.302403:0.256306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
meras horas.:@0.315985:0.289291:0.408084:0.289291:0.408084:0.272902:0.315985:0.272902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287495:0.313010:0.303712:0.313010:0.303712:0.296109:0.287495:0.296109:0.000000:0.000000
  ¿Cuántas bacterias habrá en la colonia al finalizar la novena hora?:@0.303712:0.313010:0.792133:0.313010:0.792133:0.296621:0.303712:0.296621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.287495:0.336729:0.301316:0.336729:0.301316:0.319828:0.287495:0.319828:0.000000:0.000000
  ¿Cuál es el número total de bacterias cuando han transcurrido 10 horas?:@0.301316:0.336729:0.844283:0.336729:0.844283:0.320340:0.301316:0.320340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Progresiones aritméticas:@0.286308:0.075160:0.652059:0.075160:0.652059:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Crees que las bacterias :@0.086342:0.192000:0.247832:0.192000:0.247832:0.177101:0.086342:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre se multiplican al :@0.078703:0.207088:0.247835:0.207088:0.247835:0.192189:0.078703:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mismo ritmo? ¿Por qué :@0.089994:0.222175:0.247833:0.222175:0.247833:0.207276:0.089994:0.207276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podría cambiar ese ritmo?:@0.070377:0.237263:0.244163:0.237263:0.244163:0.222364:0.070377:0.222364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las enfermedades :@0.123491:0.544276:0.248663:0.544276:0.248663:0.529377:0.123491:0.529377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
causadas por bacterias, :@0.090908:0.559363:0.248662:0.559363:0.248662:0.544464:0.090908:0.544464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como infecciones :@0.126858:0.574451:0.248665:0.574451:0.248665:0.559552:0.126858:0.559552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respiratorias o :@0.151585:0.589538:0.248663:0.589538:0.248663:0.574639:0.151585:0.574639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gastrointestinales, no solo :@0.072480:0.604626:0.248663:0.604626:0.248663:0.589727:0.072480:0.589727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
afectan a la salud física, :@0.091226:0.619714:0.248665:0.619714:0.248665:0.604815:0.091226:0.604815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sino que también pueden :@0.071408:0.634801:0.248665:0.634801:0.248665:0.619902:0.071408:0.619902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impactar en el bienestar :@0.083805:0.649889:0.248665:0.649889:0.248665:0.634990:0.083805:0.634990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emocional de una :@0.124161:0.664976:0.248665:0.664976:0.248665:0.650077:0.124161:0.650077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
persona.:@0.188021:0.680064:0.244996:0.680064:0.244996:0.665165:0.188021:0.665165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por eso, es importante no :@0.074608:0.698710:0.248663:0.698710:0.248663:0.683811:0.074608:0.683811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo tratar la enfermedad, :@0.074926:0.713797:0.248662:0.713797:0.248662:0.698898:0.074926:0.698898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sino también acompañar :@0.077573:0.728885:0.248665:0.728885:0.248665:0.713986:0.077573:0.713986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emocionalmente al :@0.115366:0.743973:0.248663:0.743973:0.248663:0.729074:0.115366:0.729074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paciente.:@0.184118:0.759060:0.244995:0.759060:0.244995:0.744161:0.184118:0.744161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo ayudarías :@0.134129:0.868042:0.248012:0.868042:0.248012:0.853168:0.134129:0.853168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emocionalmente a un :@0.104377:0.883129:0.248010:0.883129:0.248010:0.868256:0.104377:0.868256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
familiar que se encuentra :@0.084894:0.898217:0.248008:0.898217:0.248008:0.883343:0.084894:0.883343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enfermo?:@0.185542:0.913305:0.244996:0.913305:0.244996:0.898431:0.185542:0.898431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.100422:0.511551:0.239194:0.511551:0.239194:0.494650:0.100422:0.494650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.067056:0.826398:0.067056:0.783572:0.055145:0.783572:0.055145:0.826398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En condiciones controladas, :@0.072616:0.415284:0.243680:0.415284:0.243680:0.401875:0.072616:0.401875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como en un laboratorio, las :@0.072616:0.427856:0.239729:0.427856:0.239729:0.414447:0.072616:0.414447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bacterias pueden crecer de :@0.072616:0.440428:0.239487:0.440428:0.239487:0.427018:0.072616:0.427018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manera predecible, lo que :@0.072616:0.452999:0.233020:0.452999:0.233020:0.439590:0.072616:0.439590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
facilita su análisis.:@0.072616:0.465571:0.176345:0.465571:0.176345:0.452162:0.072616:0.452162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.070380:0.349355:0.070380:0.306529:0.058469:0.306529:0.058469:0.349355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.55. :@0.298180:0.945471:0.353423:0.945471:0.353423:0.933179:0.298180:0.933179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar los conocimientos sobre progresiones aritméticas, sumas parciales finitas de sucesiones :@0.357296:0.945471:0.906531:0.945471:0.906531:0.933552:0.357296:0.933552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numéricas para resolver aplicaciones, en general y de manera especial en el ámbito financiero, de las sucesiones :@0.298180:0.956786:0.906611:0.956786:0.906611:0.944867:0.298180:0.944867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numéricas reales.:@0.298180:0.968102:0.389714:0.968102:0.389714:0.956183:0.298180:0.956183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000