Category:Definitions/Arithmetic Sequences

From ProofWiki
Jump to navigation Jump to search

This category contains definitions related to Arithmetic Sequences.
Related results can be found in Category:Arithmetic Sequences.

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:

$a_0, a_0 + d, a_0 + 2 d, a_0 + 3 d, \ldots, a_0 + \paren {n - 1} d$

Also see