If one geometric mean `G` and two arithmetic means `A_1a n dA_2` be inserted between two given quantities, prove that `G^2=(2A_1-A_2)(2A_2-A_1)dot`

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 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 geometric mean G and two arithmetic means A_(1)andA_(2) are inserted between two given quantities, then (2A_(1)-A_(2))(2A_(2)-A_(1))=

If one geometric mean G and two arithmetic means A_(1) and A_(2) are inserted between two given quantities then, (2 A_(1)-A_(2))(2 A_(2)-A_(1))=

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

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 A.M., A and two geometric means G_1a n dG_2 inserted between any two positive numbers, show that (G1 ^2)/(G2)+(G2 ^2)/(G_1)=2Adot