If P(n) = n3 + (n + 1)3 + (n+ 2)3 where n ∈ N then P(n) is divisible by

Question

If P(n) = n3 + (n + 1)3 + (n+ 2)3 where n ∈ N then P(n) is divisible by (A) 9 (B) 7 (C) 13 (D) 15

Tardigrade Admin · Accepted Answer

Let n = 1, ∴ P (1)= 1+8 + 27 = 36 ∴ P(1) = 36 is divisible by 9

Q. If $P (n) = n^{3} + (n + 1)^{3} + (n + 2)^{3}$ where n $\in$ N then P(n) is divisible by