Question

Prove:
(2n+7) < (n+3)², for n ∈ N

{ step by step explanation}
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Answer 1

Answer:

(2n+7) <(n+3)^2............(1)

n-N means n is any natural number, then choose any one natural number ,

here taking 1 is natural number

:. n= 1. now put this value in eq^n (1)

(2×1+7)<(1+3)^2 =9<(4)^2= 9<16

therefore (2n+7)<(n+3)^2 it is proved