Question

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

Answer 1

2(2x)=x+2+2x+3
4x. =3x+5
4x-3x=5
x=5

Answer 2

Hi there!!
Let us take an A.P of terms a, b, c
The arithmetic mean is b
$b = \frac{a + c}{2}$
Here,
a= x + 2
b= 2x
c= 2x + 3
On substituting the values in the formula we get :
2x=x+2+2x+3/2
2x=3x+5/2
4x=3x+5
X=5
Hence the value of x is 5
Hope it helped!! If yes mark it as the brainliest answer..