Question

atatati ca 2|(1^n+2^n+3^n),pentru orice n apartine N*

Answer 1

Ai rezolvarea in poza de mai jos.

Answer 2

$3^n=numar\ impar\ \forall n\in N^* \\ 1^n=numar\ impar\ \forall n\in N^* \\ 3^n+1^n=numar\ par\ \forall n\in N^* \\ 3^n+1^n+2^n=numar\ par\ \forall n\in N^* \\ \rightarrow2|1^n+2^n+3^n\ \forall n \in N^*$