[SPAM] [obm-l] [obm-l] Questão de indução matemática

["Rubens Kamimura" <rubens.kamimura@xxxxxxxxxxx>]

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Olá turma da LISTA!!!

Alguém desta LISTA, se habilitariam em me elucidar tal questão?

1. Sabendo, por definição, que: a^0=1 e a^1=a, como poderemos provar por
indução matemática sobre n, que a^m.a^n = a^(m+n), para qualquer m,n
pertencente ao conjunto dos números naturais?

2. Como podemos provar por indução matemática:
2.1. 1^2+ 2^2+...+n^2 = [n(n+1)(2n+1)]/6, (n maior igual 1);
2.2. 1^3+ 2^3+...+n^3 = (1+2+...+n)^2, (n maior igual 1);
2.3. 1.2+2.3+...+n(n+1) = [n(n+1)(n+2)]/3, (n maior igual 1);

Abraços

leigo e neófito...


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