Binomial Theorem And Its Simple Applications Question 146

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

Options:

A) 3

B) 2

C) 6

D) 15

Show Answer

Answer:

Correct Answer: A

Solution:

For n = 1

$n^3 + 2n = 1^3 + 2 = 3$ which is divisible by 3

∴ $n^3 + 2n$ is divisibly by 3 for smallest positive integer