If the geometric mea is `(1)/(n)` times the harmonic mean between two numbers, then show that the ratio of the two numbers is `1+sqrt(1-n^(2)):1-sqrt(1-n^(2))`.

If the geometric mean is (1)/(n) times the harmonic mean between two numbers, then show that the ratio of the two numbers is 1+sqrt(1-n^(2)):1-sqrt(1-n^(2)) .

If p is the first of the n arithmetic means between two numbers and q be the first on n harmonic means between the same numbers. Then,show that q does not lie between p and ((n+1)/(n-1))^(2)p

If p is the first of the n arithmetic means between two numbers and q be the first on n harmonic means between the same numbers. Then, show that q does not lie between p and ((n+1)/(n-1))^2 p.

If p is the first of the n arithmetic means between two numbers and q be the first on n harmonic means between the same numbers. Then, show that q does not lie between p and ((n+1)/(n-1))^2 p.

If p is the first of the n arithmetic means between two numbers and q be the first on n harmonic means between the same numbers. Then, show that q does not lie between p and ((n+1)/(n-1))^2 p.

If p be the first of n arithmetic means between two numbers and q be the first of n harmonic means between the same two numbers , then prove that the value of q can not lie between p and ((n+1)/(n-1))^2p .

The sum of two numbers is 6 times their geometric means, show that numbers are in the ratio (3+2sqrt(2)):(3-2sqrt(2)) .

If G_1 is the first of n geometric means between a and b, show that : G_1^(n+1) =a^n b .

The sum of two numbers is 6 xx their geometric means,show that numbers are in the ratio (3+2sqrt(2)):(3-2sqrt(2))

The sum of two numbers is 6 times their geometric mean, show that numbers are the ratio (3+2 sqrt2):(3-2 sqrt2)