Question

If x, y, z are in A.P. and A.M. of x and y is a
and that to y and z is b, then find the A.M. of a
and b.​

Answer 1

Answer:

y

Step-by-step explanation:

x,y,z are in AP

so,y-x=z-y

x+z=2y......................... (1)

now,AM of x,y is a

x+y/2=a

AM of y,z is b

y+z/2=b

AM of a,b=a+b/2

=x+y/2+y+z/2 divided by 2

=x+y+y+z/2 divided by 2

using (1)

4y/2 divided by 2

2y/2= y ans