the sum of three numbers in GP is 56. if we subtract 1, 7, 21 from these numbers in that order, we obtain an AP. find the numbers.

Let the three numbers in G.P be .

Now,

Also,

As in a A.P, common difference of the successive terms are same.

Now, substituting α = 16 in equation (1),

 

Hence, three numbers in G.P = 32, 16, 8  or 8, 16, 32.

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