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Periodic sequence : ウィキペディア英語版 | Periodic sequence
In mathematics, a periodic sequence (sometimes called a cycle) is a sequence for which the same terms are repeated over and over: :''a''1, ''a''2, ..., ''a''''p'', ''a''1, ''a''2, ..., ''a''''p'', ''a''1, ''a''2, ..., ''a''''p'', ... The number ''p'' of repeated terms is called the period (period). ==Definition== A periodic sequence is a sequence ''a''1, ''a''2, ''a''3, ... satisfying :''a''''n''+''p'' = ''a''''n'' for all values of ''n''. If we regard a sequence as a function whose domain is the set of natural numbers, then a periodic sequence is simply a special type of periodic function.
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