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Question

How many terms of the GP 89,818,836..... should be added to get the sum 3118?


A

3

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B

4

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C

5

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D

6

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Solution

The correct option is C

5


Here, a=89,r=81889=12 and Sn=3118.
Since Sn=a(1rn)1r is the sum of n terms of a GP of first term a and common ratio r, we have
3118=89×(1(12)n)1(12)

3136=89×(1(12)n)

3132=1(12)n

13132=(12)n
132=(12)n
i.e., 125=12n
n=5


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