Principle Of Mathematical Induction Question 41

Question: $ 10^{n}+3({4^{n+2}})+5 $ is divisible by $ (n\in N) $

Options:

A) 7

B) 5

C) 9

D) 17

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] $ 10^{n}+3({4^{n+2}})+5 $ Taking $ n=2;10^{2}+3\times 4^{4}+5 $ $ =100+768+5=873 $ Therefore this is divisible by 9.