Principle Of Mathematical Induction Question 34

Question: The sum $ \underbrace{{{(666..6)}^{2}}} _{n,digits}+\underbrace{(888..8)} _{n,digits} $ is equal to

Options:

A) $ \frac{4}{9}{{(10^{n}-1)}^{2}} $

B) $ \frac{4}{9}(10^{n}-1) $

C) $ \frac{4}{9}(10^{2n}-1) $

D) $ 4(10^{n}+1) $

Show Answer

Answer:

Correct Answer: C

Solution: