If `(x+y)/(2),y,(y+z)/(2)` are in HP, then x,y, z are in

If x^(2),y^(2),z^(2) are in AP, then y+z,z+x,x+y are in

If x,y,z, are in A.P. and x^(2),y^(2),z^(2) are in H.P., then which of the following is correct ?

(i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the value of (1)/(x) + (1)/(y) + (1)/(z) " is " (5)/(3) . If a, x, y, z b are in HP, then find a and b (ii) If x,y,z are in HP, then show that log (x +z) + log (x +z -2y) = 2 log ( x -z) .

If x,y, and z are in G.P.and x+3+y+3, and z+3 are in H.P.,then y=2 b.y=3 c.y=1 d.y=0

If y-z,2(y-a),y-x are in H.P. prove that x-a,y-a,z-a are in G.P.

If x,y,z are in HP, then log(x+z)+log (x-2y+z) is equal to