## Prove that n^3+2 is not divisible by 8

Given n3+ 2 is not divisible by 8 ∀ n ∈ N Proof For value of n, we have 2 cases CASE 1 : n is odd If n is odd then n3 is also odd. We know ODD + EVEN = ODD. Therefore, n3+2 is odd. 8 cannot divide an odd number. We can …