The sum of the first three terms of a strictly increasing G.P. is `alphas` and sum of their squares is `s^2` then if `alpha'^2=2, then the value of r is

Find the three consecutive terms in an A.P. whose sum is 18 and the sum of their squares is 140.

The sum of the first three terms of a G.P. is 16 and the sum of the next three terms is 128. (i) Determine the first term and common ratio. (ii) Find also the sum of n terms of the G.P.

The sum of first three terms of a G.P. is and their product is 1. Find the common ratio and the terms.

the sum of the first six terms of a GP is 9 times the sum of the first three terms. The common ratio is

Find the sum of the first 30 terms of an A.P. whose nth term is 3 + 2n.

If the product of three consecutive terms in G.P. is 216 and sum of their products in pairs is 156, find them.

The sum of first n terms of a certain series is given as 2n^(2)-3n . Show that the series is an A.P.

The sum of first three terms of a G.P. is 13/12 and their product is – 1. Find the common ratio and the terms.