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 sum of the first three terms of an A.P. is 36 while their product is 1620. Find the A.P.

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

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 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 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.

5th term of a G.P. is 2, then the product of first 9 terms is:

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.