The product of nine GMs inserted between the numbers `2/9` and `9/2` is

Insertion of GM between two numbers

Four geometric mens are inserted between the number 2^(11) - 1 and 2^(11) + 1 . The product of these geometric means is

If odd number of G.M.\'s are inserted between two given quantities a and b, show that the middle G.M.= sqrt(ab)

one AM,a and two GM's, pand q be inserted between any two given numbers then show that p^(3)+q^(3)=2apq

If one A.M. A and two G.M.\'s p and q be inserted between two given numbers, shwo that p^2q+q^2/p=2A

A rational number between 1/9 and 6/9 is