Sequence And Series Question 446

Question: The sum of infinity of a geometric progression is $ \frac{4}{3} $ and the first term is $ \frac{3}{4} $ . The common ratio is

[MP PET 1994]

Options:

A) 7/16

B) 9/16

C) 1/9

D) 7/9

Show Answer

Answer:

Correct Answer: A

Solution:

According to condition $ \frac{3/4}{1-r}=\frac{4}{3} $
$ \Rightarrow $ $ r=\frac{7}{16} $ .