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

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 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 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 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 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) .

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 S is the sum to infinite terms of a G.P whose first term is 'a', then the sum of the first n terms 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 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