AP GP HP Question How To Solve
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TOPIC: AP GP HP Question How To Solve
#106146

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#106288

## Re:AP GP HP Question How To Solve 4 Years, 7 Months ago

try proving it in reverse way

let x-y/2 , y/2 , z-y/2 be in GP

then use the GM condn

and u'll get x , y and z  in HP

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Last Edit: 2011/01/31 17:33 By akhilkona.
Akhil Mahajan
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#106403

## Re:AP GP HP Question How To Solve 4 Years, 7 Months ago

x,y,z are in HP

therefore,firstly u get a relation: y=2xz/(x+z) ......................(1)

now for three terms to be in GP,their common ratios must be equal....

therefore,get the common ratios........

substitute (1) in it & u get the required ans..............

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