\begin{definition}[Definition:Arithmetic Sequence]
An '''arithmetic sequence''' 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:
:$a_0, a_0 + d, a_0 + 2 d, a_0 + 3 d, \ldots, a_0 + \paren {n - 1} d$
\end{definition}