Question

16) If (x + 2), 2x, (2x + 3) are three consecutive
terms of an AP, then x=?​

Answer 1

(x+2),2x,(2x+3)

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

2x-x-2=2x+3-2x

x-2=3

Therefore, x=5

Answer 2

Answer:

Since they are consecutive terms of AP

Therefore their Diffrence is equal.

i.e. 2x-(x+2)=2x+3-(2x)(1st term - 2nd term= 3term-2nd Term)

=>2x-x-2=2x+3-2x(Romoving Brackts)

=>x-2=3(Solving Variables)

=>X=3+2

=>X=5

Therefore the value of X is 5 and the AP is 7 , 10 , 13 .....