Function sequence - Kansuuretsu

...A sequence of numbers or functions arranged in sequence according to a certain rule is called a sequence of numbers or a sequence of functions, respectively, and an equation in which such sequences are combined in sequence with addition symbols is called a series. For example, {1, 3, 5, 7, ...} and {1, 2, 4, 8, ...} are sequence numbers, and their corresponding series are 1 + 3 + 5 + 7 + ... and 1 + 2 + 4 + 8 + ..., respectively. ...

*Some of the terminology explanations that mention "function sequences" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

…ある規則に従って順次に並べられた数または関数の列を，それぞれ数列または関数列といい，それらの列を順次に加法記号で結合した式を級数という。例えば｛1,3,5,7，……｝，｛1,2,4,8，……｝は数列であり，これらに対応する級数は，それぞれ1＋3＋5＋7＋……，1＋2＋4＋8＋……である。…

※「関数列」について言及している用語解説の一部を掲載しています。

出典｜株式会社平凡社世界大百科事典 第２版について | 情報