Prove by using the principle of mathematical induction for all n ∈ N: n (n + 1) (n + 5) is a multiple of 3

Question

Prove  the following by using the principle of mathematical induction for all n ∈ N:  

n (n + 1) (n + 5) is a multiple of 3

Answer 1

Using the principle of mathematical induction for all n ∈ N:  

n (n + 1) (n + 5) is a multiple of 3