The product of first three terms of a G.P. is 1000. If we add 6 to its second term and 7 to its 3rd term, the three terms form an A.P. Find the terms of the G.P.

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

The 4th term of a G.P. is square of second term and first term is -3. Determine its 6th term.

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 first three terms of a G.P. is 39/10 and their product is 1 . Find the common ratio and the terms.

The third term of an A.P. is 10 and seventh term is 22. Find the 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.

Find the second term and nth term of an A.P. whose 6th term is 12 and 8th term is 22.