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

Explanation

We will prove it by using the formula of mathematical induction for all n ϵ N
Let `P(n)=n(n+1)(n+5)=3d `where `d in N`


For `n=1`


`P(1)=1(2)(6)=12` which is divisible by 3


Let `P(k)` is true
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