The sum of an infinite G.P. is 5 and the sum of squares of these terms is 15, find the G.P.

The sum of an infinite G.P is 5 and the sum of the squares of these terms is 15. Find the G.P.

The sum of the 3rd and 7th terms of an A.P. is 54 and the sum of the 5th and 11th terms is 84. Find the A.P.

The sum of an infinite G.P. is 80/9 and its common ration is -4/5. Find its first term.

The sum of four consecutive terms of an A.P. is 2. The sum of the 3rd and 4th terms is 11. Find the terms.

If sum of 3rd and 8th term of an A.P is 7 and sum of 7th and 14th term is -3 , then find 10th term.

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

Determine whether the sum to infinity of the following G.P.'s exist. In the case they exist, find them: 5, -5/2, 5/4, -5/8, 5/16,…

In a G.P, if the third term is 63 and the sixth term is 1701, find its nth term.