Question

Write the value of $x$ for which $x+2,2x,2x+3$ are three consecutive terms of an A.P

Answer 1

Given,

$x+2,2x,2x+3$ are in A.P.

$\Rightarrow \left(2x\right)-(x+2)=(2x+3)-\left(2x\right)$

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

$x-2=3$

$\therefore x=5$

The consecutive numbers are : $5+2,2\left(5\right),2\left(5\right)+3$

$\Rightarrow 7,10,13$