Question

If the number $x-2,4x-1$ and $5x+2$ are in $A.P$., find the value of $x$.

Answer 1

We have,

$\begin{array}{c}\left(x-2\right)+\left(5x+2\right)=2\times \left(4x-1\right)\\ 6x=8x-2\\ 2x=2\\ x=1\end{array}$

Hence, this is the answer.