Hello, I'm struggling with the question on induction.(adsbygoogle = window.adsbygoogle || []).push({});

I was wondering if you could help me?

Prove that n(n^2 +5) is divisible by 6 for n belonging to Z^+

P_1 is (1(1^2 + 5))/6=1 hence P_1 is true

If P_k is true then (k(K^2 +5))/6=r and if and only if (k(k^2 +5))=6r

then P_(k+1) is

(k+1)((K+1)^2 +5))=6r

We're looking for something with 6 as a factor.

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# Proving divisibility by induction

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