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 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.

If the arithmetic mean of x and y is (x^n+y^n)/((x^(n-1)+y^(n-1))) ,then the value of n is