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 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) .

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 geometric mean G and two arithmetic means p,q be inserted between two given numbers,then prove that,G^(2)=(2p-q)(2q-p)

If A be one A.M. and p ,q be two G.M. ' s between two numbers, then 2A is equal to (a)(p^3+q^3)/(p q) (b) (p^3-q^3)/(p q) (c) (p^2+q^2)/2 (d) (p q)/2

If p ,q be two A.M. ' s and G be one G.M. between two numbers, then G^2= a)(2p-q)(p-2q) (b) (2p-q)(2q-p) c)(2p-q)(p+2q) (d) none of these