The sum of the squares of three distinct real numbers, which are in GP, is `S^(2)`. If their sum is `a S`, then show that
`a^(2) in ((1)/(3), 1) uu (1,3)`

The sum of the squares of three distinct real numbers which are in GP is S^(2) , if their sum is alpha S , then

The sum of squares of three distinct real numbers which form an increasing GP is S^(2) (common ratio is r).If sum of numbers is alpha S then if r=3 then alpha^(2) cannot lie in

The sum of squares of three distinct real numbers which form an increasing GP is S^2 (common ratio is r). If sum of numbers is alphaS , then If alpha^2=2 , then the value of common ratio r is greater than

The sum of squares of three distinct real numbers which form an increasing GP is S^2 (common ratio is r). If sum of numbers is alphaS , then If r=2 then the value of alpha^2 is (a)/(b) (where a and b are coprime ) then a+b is

Find three numbers in G.P. such that their sum is 14 and the sum of their squares is 84-

The sum of three numbers in GP is (39)/(10) and their product is 1. Find the numbers

The sum of the first three terms of a strictly increasing G.P.is alpha s and sum of their squares is s^(2)

The sum of all the 4-digit distinct numbers that can be formed with the digits 1,2,2 and3 is :

If a , b ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3a cdot