x, x + 3, x + 9 are first three terms of a G.P. Find the value of x.

If 5, x, y, z, 405, are the first five terms of a G.P., find the values of x, y, z.

If x ,2x+2 and 3x+3 are the first three terms of a G.P., then the fourth term is a. 27 b. -27 c. 13.5 d. -13.5

The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.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.

The sum of first three terms of a G.P. is 39/10 and their product is 1. Find the common ratio and the terms.

If 5, x, 405 are in G.P. then the value of x ?

In the binomial expansion (1+ax)^(n) , the first three terms are 1 , 12x and 64 x^(2) ,then the value of n will be -

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

An A.P. consists of n terms. If the sum of its first three terms is x and the sum of the last three terms is y, then show that, the sum of all the terms of the A.P. is (n)/(6)(x+y) .

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.