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
First n terms of GP be a, ar, ar2…, arn - 1
From n + 1 term,
GP = arn, arn + 1, …, ar2n - 1
Sum of GP for n terms S1 =
Sum of GP for next terms S2 =
∴
⇒
⇒
Hence, Proved.