Question

applying the principle of mathematical induction,prove that : n(n+1)(2n+1) is divisible by 6 for all n belongs to N

Answer 1

Can you prove that it is divisible by 6 when n=1?

Answer 2

yes

Answer 3

can you prove that it is divisible by 6 when n is (n+1)?

Answer 4

(n+1)((n+1)+1)(2(n+1)+1)

Answer 5

yes

Answer 6

well, I think you just induced it then, and congratulations

Answer 7

little rusty on my induction proofs.