If` x, y, z` are in A.P. and` A1 `is the arithmetic mean of `x, y` and `A2 `is the arithmetic mean of `y, z` then prove that the arithmetic mean of `A1`and `A2 `is` y `

If x,y,z are in A.P.and A1 is the arithmetic mean of x,y and A2 is the arithmetic mean of y,z then prove that the arithmetic mean of A1 and A2 isy

If x, y, z are in arithmetic progression and a is the arithmetic mean of x and y and b is the arithmetic mean of y and z, then prove that y is the arithmetic mean of a and b.

If x, y, z are in arithmetic progression and a is the arithmetic mean of x and y and b is the arithmetic mean of y and z, then prove that y is the arithmetic mean of a and b.

If x, y, z are in arithmetic progression and a is the arithmetic mean of x and y and b is the arithmetic mean of y and z, then prove that y is the arithmetic mean of a and b.

Insert n arithmetic means between x and y.

Let x,y,z be different integers less than or equal to 14. The arithmetic mean of x and y is 10 and the geometric mean of x and z is 2 sqrt(21) then harmonic mean of y and z is equal to

The arithmetic mean of two numbers x and y is 3 and geometric mean is 1. Then x^(2)+y^(2) is equal to

The arithmetic mean of two numbers x and y is 3 and geometric mean is 1. Then x^(2) + y^(2) is equal to

If the arithmetic mean of y and z be x and that of (1)/(x) and (1)/(y) be (1)/(z) , then show that x, y, z are in G.P.