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Three positive numbers form an increas-ing G.P. If the middle term in this G.P. is tripled, the new numbers are in A.P. Then the common ratio of G.P.is:

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a
3+22
b
22-3
c
2+23
d
22+3

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detailed solution

Correct option is A

Let the three positive numbers in the increas-ing G.P. be

ar,a,ar where r>1

We are given, ar , 3a, ar are in A.P. 

      ar+ar=2(3a)         r26r+1=0            r=3±22

As           r>1, r=3+22

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