Sum To N Terms Of A G.P|| Examples

Sum of n Terms of an A.P. | Examples

The common ratio, last term and sum of n terms of a G.P. are 2, 128 and 255 respectively. Find the value of n.

if S_(n) denotes the sum of n terms of a G.P whose first term is a and common ratio is r then find the sum of S_(1),S_(3),S_(5).........,S_(2)n-1

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is

If the sum of the n terms of a G.P. is (3^(n)-1) , then find the sum of the series whose terms are reciprocal of the given G.P..

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)) .

If the sum of first n terms of a G.P. is s and the sum of its first 2n terms is 5S, then show that the sum of its first 3n terms is 21S .

If the sum of first n terms of a G.P. is S and the sum of its first 2n terms is 5S, then show that the sum of its first 3n terms is 21S.

If the sum of n terms of a G.P. (with common ratio r) beginning with the p^(th) term is k times the sum of an equal number of terms of the same series beginning with the q^(th) term, then the value of k is.