Binomial Theorem And Its Simple Applications Question 110
Question: For every natural number n, $ {3^{2n+2}}-8n-9 $ is divisible by
[IIT 1977]
Options:
A) 16
B) 128
C) 256
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- $ {3^{2n+2}}-8n-9,,\forall n\in N $ Putting $ n=2 $
$ {3^{2\times 2+2}}-8\times 2-9=729-16-9=704 $ It is divisible by 16.
BETA
