Let (P(n)=3^{2n+1}+2^{n+2}) where n∈N. Then | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

Let $P(n)=3^{2n+1}+2^{n+2}$ where n∈N. Then

A

P(n) is not divisible by any prime integer

B

P(n) is not divisible by any prime integer

C

P(n) is divisible by 5 for all n∈N

D

P(n) is divisible by 3 for all n∈N

Answer

P(n) is not divisible by any prime integer

Explanation

Solution

The correct answer is option (B): P(n) is not divisible by any prime integer