← Chapter 14
College Algebra · Chapter 14

Arithmetic Sequences

An arithmetic sequence adds the same number — the common difference d — to get from each term to the next. Drag the sliders and watch the terms, the straight-line graph, and the running sum all respond together.

Every arithmetic sequence graphs as a straight line

first term a1 middle terms last term an
The points never bend. The slope of the line is the common difference d: each step to the right rises by exactly d.
Arithmetic sequenceset the first term and the common difference