Question: 1. Use induction to prove that n(n + 1)(n + 2) is a multiple of 3 for all integers n 1. 2. Use induction

1. Use induction to prove that n(n + 1)(n + 2) is a multiple of 3 for all integers n ≥ 1.

2. Use induction to show that n 3 + 5n is a multiple of 6 for any nonnegative integer n.

1. Use mathematical induction to prove the identity F12+ F 22 + F32 + · · · + Fn2 = FnFn+1 for any integer n ≥ 1.

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