# Proof I

When added to the product of two consecutive integers larger one, we get square larger one. Is this true or not?

Result

### Step-by-step explanation:

$n\left(n+1\right)+\left(n+1\right)={n}^{2}+n+n+1={n}^{2}+2n+1=\left(n+1{\right)}^{2}$

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