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Question

An infinite G.P. has first term x and sum 5. Then which of the following is true

A
0<x<10
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B
0<x<15
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C
x>10
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D
x>5
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Solution

The correct option is A 0<x<10
Let r be the common ratio
Given x1r=5
r=1x5
But, we have |r|<1
1<1x5<12<x5<010<x<00<x<10

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