# Find x

• October 23rd 2008, 01:16 PM
magentarita
Find x
Find x so that 2x, 3x + 2 and 5x + 3 are consecutive terms of an arithmetic sequence.
• October 23rd 2008, 01:19 PM
masters
Quote:

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.
• October 23rd 2008, 06:41 PM
magentarita
I got it...
Quote:

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.