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Let `a ,b` be positive real numbers. If `a A_1, A_2, b` be are in arithmetic progression `a ,G_1, G_2, b` are in geometric progression, and `a ,H_1, H_2, b` are in harmonic progression, show that `(G_1G_2)/(H_1H_2)=(A_1+A_2)/(H_1+H_2)=((2a+b)(a+2b))/(9a b)`

A

`(1)/(2)`

B

`(3)/(2)`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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