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

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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