Question

If x y z are positive numbers such that a x b are in ap and a y b are in gp and z = 2ab/a+b then

Answer 1

Please see the attachment

Answer 2

Answer:

a, x, b are in A. P.

2x= a+b

similarly, y²=ab

as per given

z=(2ab) /a+b

thus, z= y²/x

y² =zx

therefore, zyx are in g. p.