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Find three numbers in G.P. whose sum is 13 and the sum of whose squares is 91.

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Let the numbers be a , ar , ar2

Now numbers are a , ar , ar2

If r = 3 and a = 1 then 

1, 3 , 9 are the numbers.

 If r = 1/ 3 and a = 9 then 

9, 3 , 1 are the numbers.

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