Question

x, y, z are in arithmetic sequence, prove that y=(x+y+z)/3

Answer 1

X, y, z is Arthematic mean Than
y = x+z/2
to Prove y= x+y+z/3

X+y+z/3 = (X + (x+z)/2 + z)/3
or (2X + X + Z + 2Z )/2 / 3
or 3(X+y)/2/3
or X+y/2 Hence Proved