The sum of an inifinite G.P. is 8. If the second term is 2, then find the first term and the series.

If 3rd term of a G.P. is 324 and 7th term is 64, then find the 10th term.

If the sum of the first n terms of an AP is 4n - n^2 , what is the first term (that is S_1 .) ? What is the sum of two terms ? What is the second term ? Similarly, find the 3rd, the 10th and the nth terms.

If first term is 2 and last term is 10 then find the sum of 5th term

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 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 4th term of a G.P. is square of its second term, and the first term is-3. Determine its 7th term.

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 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.

If the sum of first 10 terms of an A.P. is 4 times the sum of its first 5 terms, then find the ratio of first term and common difference.