If P (n) is the statement "n3 + n is divisible by 3",


If P (n) is the statement "n3 + n is divisible by 3", prove that P (3) is true but P (4) is not true.


We have:

$P(n): n^{3}+n$ is divisible by 3 .


Thus, we have :


It is divisible by $3 .$


Hence, $P(3)$ is true.



It is not divisible by 3 .


Hence, $P(4)$ is not true.

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