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Question

If  a1,a2, a3(a1>0) are three successive terms of a G.P. with common ratio r, the value of r for which a3>4a23a1 is 



A

1 < r <3 

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B

-3 < r <-1

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C

r >3 or  r <1

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D

none of these 

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Solution

The correct option is C

r >3 or  r <1


a3>4a23a1

a1r2>4a1r3a1

r2>4r3

r24r+3>0

(r1)(r3)>0

r<1 or r>3


Mathematics

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