Definition:Arithmetic Sequence

Definition
An arithmetic progression is a finite sequence $\sequence {a_k}$ in $\R$ or $\C$ defined as:
 * $a_k = a_0 + k d$ for $k = 0, 1, 2, \ldots, n - 1$

Thus its general form is:
 * $a_0, a_0 + d, a_0 + 2 d, a_0 + 3 d, \ldots, a_0 + \paren {n - 1} d$

Also known as
The term arithmetical progression is sometimes seen.

Also see

 * Sum of Arithmetic Progression
 * Definition:Arithmetic Series