The sum of an infinite GP is x and the common ratio r is such tha

The sum of an infinite GP is x and the common ratio r is such tha
| The sum of an infinite GP is x and the common ratio r is such that | r | < I. If the first term of the GP is 2, then which one of the following is correct?

A. -1 < x < 1

B. -∞ < x < 1

C. 1 < x < ∞

D. None of the above

Please scroll down to see the correct answer and solution guide.

Right Answer is: C

SOLUTION

Sum of infinite GP = x

 (where, a = 1st term and r = common ratio)

….. (i) (given a = 2 and )

Then

Here equation (i) x > 1

Hence, 1 < x <

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