If $n$ is a positive integer, then $n^{3} + 2n$ is divisible by

Question

Dr. Abubacker · Accepted Answer

(d)
Let $P(n) = n^{3} + 2n$
$\Longrightarrow P(1) = 1 + 2 = 3$
$\Longrightarrow P(2) = 8 + 4 = 12$
$\Longrightarrow P(3) = 27 + 6 = 33$
Here, we see that all these number are divisible by 3

Q. If $n$ is a positive integer, then $n^{3} + 2n$ is divisible by

Explanation

Reviewed by Dr. Abubacker

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