$(n + 1) (n + 2)$ is an even number

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Solution

$\Rightarrow (n + 1) (n + 2) \to$ is an even NO
$\Rightarrow n^{2} + 2 n + 2$
$n \Rightarrow$ even $\Rightarrow$ odd $\times$ even=even
$n =$ odd $\Rightarrow$ even $\times$ odd=even

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