Question

The value of \(1+\bigg(1+\frac{1}{3}\bigg)\frac{1}{4}+\bigg(1+\frac{1}{3}+\frac{1}{9}\bigg)\frac{1}{16}+\bigg(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}\bigg)\frac{1}{64}+....\),is

• A. \(\frac{15}{13}\)
• B. \(\frac{27}{12}\)
• C. \(\frac{16}{11}\)
• D. \(\frac{15}{8}\)

Answer 1

The Correct Option is C

The correct option is (C): \(\frac{16}{11}\).