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

If one G.M., G and two A.M.\'s p and q be inserted between two given quantities, show that G^2=(2p-q)(2q-p) .

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

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

If one A.M 'a' and two GM's p and q be inserted between any two given number, show p^3+q^3=2apq .

Insertion of GM between two numbers

If the A.M between two positive numbers a and b is twice theirr G.M., then A : B =

If A and G are the A.M. and G.M. respectively between any two distinct positive numbers a and b then show that A > G.

If 8G.M.'s inserted between 2 and 3 then the product of the 8 G.M.' s is