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Question

If the 2nd,5th and 9th terms of non-constant A.P. are in G.P., then the common ratio of this G.P. is:


A

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B

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C

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D

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Solution

The correct option is A


a+d,a+4d,a+8d are in G.P.(a+4d)2=(a+d)(a+8d)a2+8ad+16d2=a2+9ad+8d28d2=adad=8Common ratio=a+4da+d=8+48+1=43


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