The first term of a G.P. is 2 and the sum to infinity is 6. Find the common ratio.

The nth term of a G.P. is 128 and the sum of its n terms is 225. If its common ratio is 2, then its first term is:

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.

The common ratio of a G.P. is -4/5 and the sum to infinity is 80/9 . Find the first term.

If the first term of an A.P. is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, find the 20th term.

If the first term of an A.P. is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, find the sum of first 30 terms.

The 6th term of a G.P. is 32 and its 8th term is 128, then the value of the common ratio is :

The sum of the third and the seventh term of an A.P. is 6 and their product is 8. Find the sum of first sixteen terms of an A.P.

The sum of an infinite number of terms of a G.P. is 15 and the sum of their squares is 45. Find the G.P.