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.

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 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 four numbers in an A.P. is 16 and sum of their squares is 84. Find the numbers.

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

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

Find four terms in A.P. whose sum is 20 and the sum of whose squares is 120.

Find two positive numbers whose sum is 15 and the sum of whose squares is minimum.