Find the sum to infinity to the following series 3 + 2 + (frac{4}{3}) +…

Find the sum to infinity to the following series 3 + 2 + (frac{4}{3}) + (frac{8}{9}) + (frac{16}{17}) + …..

Correct Answer: Option D

Explanation

3 + 2 + (frac{4}{3}) + (frac{8}{9}) + (frac{16}{17}) + …..
a = 3
r = (frac{2}{3})
s (alpha) = (frac{a}{1 – r}) = (frac{3}{1 – frac{2}{3}})
= (frac{3}{frac{1}{3}})
= 3 x 3
= 9