The product of two consecutive positive integers is added to the larger of the two integers. Prove that the result is always a square number.

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1. think: (a+1)^2 = a^2+2a+1

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2. n (n+1) + n+1
n^2 + n + n + 1

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

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3. Thank you so much.

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