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Question

The nth term of a GP 18, -12, 8,...... is 512729. The value of n is .

A
7
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B
8
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C
9
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D
10
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Solution

The correct option is C 9
The given GP 18, -12, 8,... The first term of the GP is 18 and the common ratio is r=1218=23an=512729arn1=51272918(23)n1=512729(23)n1=512729×18=2936×2×32(23)n1=2838=(23)8n1=8n=9

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