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 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

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

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

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

The A.M. and H.M. between two numbers are 27 and 12, respectively, then find their G.M.

The A.M. and H.M. between two numbers are 27 and 122, respectively, then find their G.M.

If eleven A.M. s are inserted between 28 and 10, then find the number of integral A.M. s.

If eleven A.M. ‘s are inserted between 28 and 10, then find the number of integral A.M. ‘s.

If A and G be A.M. and GM., respectively between two positive numbers, prove that the numbers are A+-sqrt((A+G)(A-G)) .

If the ratio of H.M. and G.M. between two numbers a and b is 4:5 , then find the ratio of the two number ?