If `x,y,z` are in A.P and `A_(1)` is the A.M of `x` and `y` and `A_(2)` is the A.M of y and z then A.M of `A_(1)` and `A_(2)` is

If x,y,z are in A.P.and A_(1) is the A.M.of x and y and A_(2) is the A.M.of y and z, then prove that the A.M.of A_(1) and A_(2)isy.

If x,y,z be three numbers in G.P. such that 4 is the A.M. between x and y and 9 is the H.M. between y and z , then y is

Find the A.M. between (x – y) and (x + y).

If A_(1),A_(2) be two A.M.'s and G_(1),G_(2) be two G.M.,s between a and b, then (A_(1)+A_(2))/(G_(1)G_(2)) is equal to

If A_(1),A_(2),A_(3),A_(2) and A_(5) are the five A.M.'s between 2 and 8 ,then find the value of A_(1)+A_(2)+A_(3)+A_(4)+A_(5)

Suppose a_(1),a_(2)… are in A.P. If a_(8): a_(5)= 3:2, then a_(17) : a_(23) is :