Principle Of Mathematical Induction Question 51

Question: The sum of the series $ \frac{2}{3}+\frac{8}{9}+\frac{26}{27}+\frac{80}{81}+….. $ to n terms is

Options:

A) $ n-\frac{1}{2}(1-{3^{-n}}) $

B) $ n-\frac{1}{2}({3^{-n}}-1) $

C) $ n-\frac{1}{2}(3^{n}-1) $

D) $ n+\frac{1}{2}(3^{n}-1) $

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Answer:

Correct Answer: A

Solution:

  • [a] Assigning values to n, we get the answer.