Category:Definitions/Arithmetic Progressions

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


An arithmetic progression is a finite sequence $\left \langle{a_k}\right \rangle$ 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:

$a_0, a_0 + d, a_0 + 2 d, a_0 + 3 d, \ldots, a_0 + \left({n - 1}\right) d$

Also see