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 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 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 alphaS , show that alpha ^2in(1/3,1)uu(1,3) .

The sum of the squares of three distinct real numbers which are in G.P. is S^(2) . If their sum is kS, 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 r=2 then the value of alpha^2 is (a)/(b) (where a and b are coprime ) then a+b is

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

Sum of the square of three different terms, which are in GP is s^2 . If the sum of the three terms is alpha s, show that 1/3< alpha^2 <3.

If sum of the square of three different terms in G.P. is S^(2) their sum is alpha S , then show that (1)/(3) lt alpha^(2) lt 3 .