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)`

If A is the arithmetic mean and p and q be two geometric means between two numbers a and b, then prove that : p^(3)+q^(3)=2pq " A"

If A is the arithmetic mean and p and q be two geometric means between two numbers a and b, then prove that : p^(3)+q^(3)=2pq " A"

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. 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 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 A is the arithmetic mean and G_(1), G_(2) be two geometric mean between any two numbers, then prove that 2A = (G_(1)^(2))/(G_(2)) + (G_(2)^(2))/(G_(1))

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 .