Question

Write the value of x for which (x+2) 2x (2x+3) are three consecutive terms of an ap

Answer 1

common difference is same in ap

Answer 2

Answer:

The value of x is 5.

Step-by-step explanation:

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

$2b=a+c$

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

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

$4x=3x+5$

$4x-3x=5$

$x=5$

Therefore the value of x is 5.