Question

prove that n²+2n+1 is the square of an integer for every integer n​

Answer 1

Answer:

n^2 + 2n + 1 = (n + 1)^2 = N^2

So if n = 1   then N^2 = 2^2

        n = 2 then N^2 = 3^2

or n + 1 = N    so for every integer n then N^2 = (n + 1)^2

and n + 1 is an integer since n is required to be an integer