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Question

The sum can be found of an infinite G.P. whose common ratio is r


A

For all value of r

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B

For only positive values of r

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C

Only for 0<r<1

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D

Only for -1<r<1(r0)

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Solution

The correct option is D

Only for -1<r<1(r0)


Explanation for the correct option

The formula for a geometric progression=a1-r, where -1<r<1(r0)

If r>1,then the value of 1-r will be negative but this is not possible as r is positive, all the elements of geometric progression will also be positive and their sum cannot be negative.

Hence, option D is correct.


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