[Proof] Divisibility using Induction

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Prove 5^n - 1 is divisible by 8 for any n in N.

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This is probably a bit nitpicky, but I was of the opinion N contains 0, mainly due to the set theoretic construction of N generally has the nullset being 0, then just using S(x)=x union {x} to get each succeeding natural number.

algebrad