If the sum of the terms of an infinitely decreasing GP is equal to the greatest value of the fuction `f(x)=x^(3)+3x-9` on the iterval `[-5,3]` and the difference between the first and second terms is `f'(0)` , then show that the common ratio of the progression is `(2)/(3)`.

If the sum of infinite tems of a decreasing G.P. is equal to the greatest value of the function f(x)=x^(3)-3x+9 in [-2,3] and the difference between first two terms is |f'(0)| then first term of G.P.is

The sum of the terms of an infinitely decreassing Geometric Progression (GP) is equal to the greatest value of the function f (x) = x^(3) + 3x -9 where x in [-4, 3] and the difference between the first and second term is f'(0). The common ratio r = p/q where p and q are relatively prime positive integers. Find (p+q).

The sum of the terms of an infinitely decreassing Geometric Progression (GP) is equal to the greatest value of the function f (x) = x^(3) + 3x -9 where x in [-4, 3] and the difference between the first and second term is f'(0). The common ratio r = p/q where p and q are relatively prime positive integers. Find (p+q).

If the sum of an infinite G.P. is equal to the maximum value of f(x)=x^(3)+2x-8 in the interval [-1,4] and the sum of first two terms is 8. Then, the common ratio of the G.P. is

If the sum of an infinite G.P. is equal to the maximum value of f(x)=x^(3)+2x-8 in the interval [-1,4] and the sum of first two terms is 8. Then, the common ratio of the G.P. is

If the sum of an infinitely decreasing GP is 3, and the sum of the squares of its items is 9/2, the sum of the cubes of the terms is.

If the sum of an infinitely decreasing G.P. is 3, and the sum of the squares of its terms is 9//2 , the sum of the cubes of the terms is

If the sum of an infinitely decreasing G.P. is 3, and the sum of the squares of its terms is 9//2 , the sum of the cubes of the terms is

IF first term of an infinite G.P. is x and its sum is 5, then-