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Three numbers form an increasing G.P. If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P. is

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a
2−3
b
2+3
c
3−2
d
3+2

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detailed solution

Correct option is B

Let the three numbers be a/r, a, ar. As the numbers form an increasing G.P., so, r > 1. It is given that a/r, 2a, ar are in A.P. Hence,4a=ar+ar⇒ r2−4r+1=0⇒ r=2±3=2+3                   [∵r>1]


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