# Math Help - Find x

1. ## Find x

Find x so that 2x, 3x + 2 and 5x + 3 are consecutive terms of an arithmetic sequence.

2. Originally Posted by magentarita
Find x so that 2x, 3x + 2 and 5x + 3 are consecutive terms of an arithmetic sequence.
In an aritmetic sequence, there must be a 'common difference' between consecutive terms. So...

$(3x+2)-(2x)=(5x+3)-(3x+2)$

Solve for x.

3. ## I got it...

Originally Posted by masters
In an aritmetic sequence, there must be a 'common difference' between consecutive terms. So...

$(3x+2)-(2x)=(5x+3)-(3x+2)$

Solve for x.
I can now solve for x.

Thank you. I had no idea it was that simple to set up the equation.