Editing Periodic sequence (section)

{{short description|Sequence for which the same terms are repeated over and over}}

In [[mathematics]], a '''periodic sequence''' (sometimes called a '''cycle''' or '''orbit''') is a [[sequence]] for which the same [[term (logic)|terms]] are repeated over and over:

:''a''<sub>1</sub>, ''a''<sub>2</sub>, ..., ''a''<sub>''p''</sub>,&nbsp;&nbsp;''a''<sub>1</sub>, ''a''<sub>2</sub>, ..., ''a''<sub>''p''</sub>,&nbsp;&nbsp;''a''<sub>1</sub>, ''a''<sub>2</sub>, ..., ''a''<sub>''p''</sub>, ...

The number ''p'' of repeated terms is called the '''period''' ([[frequency|period]]).<ref name=":0">{{eom|title=Ultimately periodic sequence}} </ref>