Prove the following by using the principle of mathematical induction for all `n in N` : `(2n+7)<(n+3)^2` .

Explanation

Let the given statement be `P(n)`, i.e.,
`P(n):(2n+7)<(n+3)^2`



`P(n)` is true for` n=1 `since `2.1+7=9<(1+3)^2`
=16, which is true.


Let `P(k)` be true for some positive integer k, i.e.,
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