Mathematical induction :

Submitted by alpha on Thu, 06/11/2009 - 04:01.

Analysis questions

Let $p\ge3$ be an integer. $\alpha$ and $\beta$ are the roots of the equation $x^2-(p+1)x+1=0$ .Using mathematical induction prove that $\alpha^n +\beta^n$ is - (1)an integer
2)not divisible by p

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Mathematical induction :