Show that the ratio of the sum of first `n` terms of a `G.P.` to the sum of terms from `(n+1)` to `(2n)` terms is `1/r^n`

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)/(r^(n)) .

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)/(r^(n))

Show that the ratio of the sum of first n terms of a G.P. and the sum of (n+1)th term to (2n)th term is (1)/(r^(n)) .

In the sum of first n terms of an A.P.is cn^(2), then the sum of squares of these n terms is

If the sum of first n terms of an A.P. is 3n^(2)-2n , then its 19th term is

Find the sum of first n term of the A.P., whose nth term is given by (2n+1).

If S is the sum to infinite terms of a G.P.whose first term is 1. Then the sum of n terms is

The sum of the first n-terms of the arithmetic progression is equal to half the sum of the next n terms of the same progression.Find the ratio of the sum of the first 3n terms of the progressionto the sum of its first n-terms.

If the ratio of the sum of n terms of two AP'sis 2n:(n+1), then ratio of their 8th term is