Chapter 12.2, Problem 56AYU

To determine

To find: The value of $x$ such that the given number are terms of arithmetic sequence.

Explanation of Solution

Given: The given terms are $2x,3x+2,5x+3$

The series is an arithmetic sequence so their common difference shall be same. So,

  $\begin{array}{c}\left(3x+2\right)-2x=\left(5x+3\right)-\left(3x+2\right)\\ x+2=2x+1\\ x=1\end{array}$

Therefore, the value of $x$ is $1$ .