Infinite G.P. and its sum

If the sum of an infinite G.P and the sum of the squares of its terms are both equal to 5 , then the first term is

The first term of an Infinite G.P is K and its sum is 12 ,then the range of K is

If sum of infinite G.P is x and sum of square of its terms is y, then common ratio is -

Sum of an infinite G.P is 2 and sum of its two terms is 1.If its second terms is negative then which of the following is /are true ?

Sum of an infinite G.P. is 2 and sum of their cubes is 24, then 5th term of the G.P. is

If the sum of an infinite G.P. be 3 and the sum of the squares of its term is also 3, then its first term and common ratio are

The sum of an infinite G.P. is 16 and the sum of the squares of its terms is 153(3)/(5) . Find the fourth term of the progression :

The sum of an infinite G.P. is 5 and the sum of the squares of these terms is 15. Find the G.P.

In an infinite G.P. second term is x and its sum is 4, then complete set of values of x is in