The sum of first three terms of a G.P. is `(39)/(10)` and their product is 1. Find the common ratio and the terms.

Explanation

Let a/r​,a,ar be the first terms of the G.P.

=`a/r​+a+ar=1039​`....(1)

`(a/r​)(a)(ar)=1`...(2)


From (2) we obtain a=1 (considering real roots only)


Substituting a=1 in equation (1), we obtain


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