Find x so that 2x, 3x + 2 and 5x + 3 are consecutive terms of an arithmetic sequence.
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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... $\displaystyle (3x+2)-(2x)=(5x+3)-(3x+2)$ Solve for x.
Originally Posted by masters In an aritmetic sequence, there must be a 'common difference' between consecutive terms. So... $\displaystyle (3x+2)-(2x)=(5x+3)-(3x+2)$ Solve for x. I can now solve for x. Thank you. I had no idea it was that simple to set up the equation.