Question

if a,x,b are in A.P. Show that x= (a+b)/2​

Answer 1

Step-by-step explanation:

let a=1,x=2 and b=3

(1+3)/2=2

(a+b) /2=x

Answer 2

Step-by-step explanation:

Let us take a = 6, x = 12 and b = 18

AP : 6 , 12 , 18,

a = 6

d = 6

To prove

x = (a+b)/2

12 = ( 6 + 18 )/2

12 = ( 24 )/2

12 = 12

Therefore

x = (a+b)/2.