[" The surh of the first "4" terms of a G.P.is "40" and the sum "],[" of first "8" terms is "3280" .Obtain the G.P."]

The sum of the first 4 terms of a G.P. is 40 and the sum of first 8 terms is 3280. Obtain the G.P.

The sum of the first three terms of a G.P. is 16 and the sum of the next three terms is 128. (i) Determine the first term and common ratio. (ii) Find also the sum of n terms of the G.P.

The sum of first 6 terms of a G.P. is 9 times the sum of its first 3 terms. Find the common ratio of the G.P.

The second term of a G.P. is 2 and the sum of infinite terms is 8. Find the first term.

If the sum of the first n terms of a G.P. = p and the sum of the first 2n terms = 3p, show that the sum of first 3n terms = 7p.

The sum of first 8 terms of a G.P. is five times the sum of the first 4 terms. Find the common ratio.

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 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.