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 $ .