Sequence And Series Question 610

Question: The sum of the series $ 5.05+1.212+0.29088+…,\infty $ is

[AMU 2000]

Options:

A) 6.93378

B) 6.87342

C) 6.74384

D) 6.64474

Show Answer

Answer:

Correct Answer: D

Solution:

Clearly it is a infinite G.P. whose common ratio is 0.24.
$ \therefore {S_{\infty }}=\frac{a}{1-r}=\frac{5.05}{1-0.24}=6.64474 $ .