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Question -

Show that the ratio of the sum of first n termsof a G.P. to the sum of terms from  



Answer -

Let a bethe first term and be the common ratio of the G.P.

Since there are n termsfrom (n +1)th to (2n)th term,

Sum of terms from(n +1)th to (2n)th term

a +1 = ar n+ 1 – 1 = arn

Thus, required ratio =

Thus, the ratio of thesum of first n terms of a G.P. to the sum of terms from (n +1)th to (2n)th term is 

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