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 1/rn.
Consider the G.P. a, ar, ar2,…….
Sum of terms from (n + 1)th to (2n)th terms
= S2n - Sn
Now Required ratio =
= = R.H.S.
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