Binomial-Theorem-And-Its-Simple-Applications Question 239

$ 10^{n}+3(4^{n+2})+5 $ is divisible by $ 7 $ for all $ 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.



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