If 'a' is the Arithmetic mean of b and c, 'b' is the Geometric mean of c and a, then prove that 'c' is the Harmonic mean of a and b.

If the arithmetic Mean of 8 and 'x' is 20 ,then find 'x' ?

find the arithmetic mean of the following data.

If the arithmetic means of two positive number a and b (a gt b ) is twice their geometric mean, then find the ratio a: b

If a is the A.M. of b and c and the two geometric means are G_(1) and G_(2) , then prove that G_(1)^(3)+G_(2)^(3)=2abc

The harmonic mean of 3, 7, 8, 10, 14 is :

Insert 3 arithmetic means between 8 and 24.

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the equation :

Let alpha and beta be two positive real numbers. Suppose A_1, A_2 are two arithmetic means; G_1 ,G_2 are two geometric means and H_1 H_2 are two harmonic means between alpha and beta , then

Find the arithmetic mean of the following frequency distribution :

Insert 3 arithmetic means between 8 & 24 .