Question

If (x+2), x and (2x+3) are in AP then find the value of x​

Answer 1

Answer:5

Step-by-step explanation:

If a,b,c are three consecutive terms of an AP, then

2b=a+c2b=a+c

It is given that (x+2), 2x, (2x+3) are three consecutive terms of an AP.

2(2x)=(x+2)+(2x+3)2(2x)=(x+2)+(2x+3)

4x=3x+54x=3x+5

4x-3x=54x−3x=5

x=5x=5