# Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from(n + 1)th to (2n)th term is

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

Sum of n terms =

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

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

Here,

a n +1 = arn+1–1 = arn

Required ratio =

The ratio of the sum 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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