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 7 and the sum of their squares is 21. Determine the first five terms of the G.P.

The sum of the first three consecutive terms of G.P. is 13 and the sum of their Squares is 91. Determine the G.P.

If the sum of first n terms of an A.P. is cn^(2) then the sum of squares of these n terms is

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

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.

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.

The sum of first 2n terms of an AP is alpha . and the sum of next n terms is beta, its common difference is