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 one arithmetic mean A and two geometric means p, q be inserted between two given numbers, then prove that, (p^(2))/(q) + (q^(2))/(p) = 2A .

If one geometric mean G and two arithmetic means A_1 and A_2 be inserted between two given quantities, prove that : G^2=(2A_1-A_2)(2A_2-A_1) .

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

If one G.M. 'G' and two arithmetic means p and q be inserted between any two given number than G^(2) =

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)

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)

If one geometric mean G and two arithmetic means A_(1) and A_(2) be inserted between two given quantities,prove that G^(2)=(2A_(1)-A_(2))(2A_(2)-A_(1))

G is the geometric mean and p and q are two arithmetic means between two numbers a and b, prove that : G^(2)=(2p-q)(2q-p)

G is the geometric mean and p and q are two arithmetic means between two numbers a and b, prove that : G^(2)=(2p-q)(2q-p)