Using the principle of mathematical induction for all n ∈ N Prove that

Question

1.3 + 2.3² + 3.3³ +…+ n.3ⁿ = [(2n - 1)3^{n + 1} + 3]/4

Answer 1

To prove 1.3 + 2.3² + 3.3³ +…+ n.3ⁿ = [(2n - 1)3^{n + 1} + 3]/4