If $P (n)$ stands for the statements " $n (n + 1) (n + 2)$ is divisible by $6$ ", then what is $P (3)$ ?

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Solution

$P (n) = n (n + 1) (n + 2)$ which is divisible by 6.
Therefore,
$P (3) = 3 (3 + 1) (3 + 2) = 60$ which is divisible by 6.

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