Using the principle of mathematical induction for all n ∈ N, Prove that 1.2 + 2.3 + 3.4 +…+ n.(n+1) = n(n + 1)(n + 2)/3

Question

1.2 + 2.3 + 3.4 +…+ n.(n+1) = n(n + 1)(n + 2)/3

Answer 1

To prove 1.2 + 2.3 + 3.4 +…+ n.(n+1) = n(n + 1)(n + 2)/3