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Question

If in an infinite G.P., first term is equal to 10 times the sum of all successive terms, then is common ratio is


A

110

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B

111

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C

19

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D

120

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Solution

The correct option is B

111


(b) 111

Let the first term of the G.P. be a

Let its common ratio be r

According to the question, we have :

First term = 10 [Sum of all successive terms]

a=10(ar1r)

aar=10ar

11ar=a

r=a11a=111


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