Prova por indu\303\247\303\243o total

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJStleGVjdXRhYmxlR0Y9Rjk=

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

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSthZmlybWF8Xnd8YnVhb0dGKC8tSSRTdW1HRiU2JCokSSJpR0YoIiIkL0YzOyIiIkkibkdGKCwkKiZGOCIiIywmRjhGN0Y3RjdGOyNGNyIiJTcjRi4=

In\303\255cio da indu\303\247\303\243o

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

IiIh

Suposi\303\247\303\243o de indu\303\247\303\243o: a afirma\303\247\303\243o \303\251 verdadeira para um n\303\272mero natural. Passo de indu\303\247\303\243o: n => n+1

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

LCYqKCMiIiIiIiVGJSlJIm5HNiIiIiNGJSksJkYoRiVGJUYlRipGJUYlKiQpRiwiIiRGJUYl

Prova:

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

LC4tSSJTRzYiNiMsJkkibkdGJSIiIkYpRilGKSomI0YpIiIlRikpRihGLEYpISIiKiYjIiIkIiIjRikpRihGMUYpRi4qJiMiIzhGLEYpKUYoRjJGKUYuKiZGMUYpRihGKUYuRilGLg==

Nota: Se voc\303\252 escrever [sum] em letras min\303\272sculas, ele calcular\303\241 o valor; se voc\303\252 escrever [Sum] em letras grandes, ele mostrar\303\241 apenas o sigma [\342\210\221].