Sequence And Series Question 630

Question: If s is the sum of an infinite G.P., the first term a then the common ratio r given by

[J & K 2005]

Options:

A) $ \frac{a-s}{s} $

B) $ \frac{s-a}{s} $

C) $ \frac{a}{1-s} $

D) $ \frac{s-a}{a} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ s=\frac{a}{1-r} $
Þ $ s-sr=a $
Þ $ -sr=a-s $
Þ $ r=\frac{s-a}{s} $ .