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.

The sum of three consecutive terms of an A.P. is 9 and the sum of their squares is 35. Find the terms.

The sum of three Consecutive terms of an A.P. is 15 and sum of their Squares is 83. Find the terms.

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.

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.

Find three numbers in G.P. whose sum is 35 and sum of their squares is 525.

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 three consecutive numbers of an A.P. is 27 and their product is 504. Find the numbers.

The sum of three numbers which are consecutive terms of an A.P. is 21. If the second number is reduced by 1 and the third is increased by 1, we obtain three consecutive terms of a G.P. Find the numbers.