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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.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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