In mathematics, a sequence is a list of terms, written:
- x0, x1, x2, ...
- 1, 2, 3, 4
If S is endowed with a topology then it is possible to talk about convergence of the sequence. This is discussed in detail in the article about limits.
For a given sequence the corresponding sequence of partial sums is called an infinite series.
E.g.: 1 + 1/2 + 1/4 + ... is a convergent series, meaning that the sequence 1, 1 + 1/2, 1 + 1/2 + 1/4, ... is convergent.
A subsequence is a sequence with some of its members omitted.
See also: Farey sequence
In mediæval Latin literature, a sequence (Latin sequentia) is a poem written in a non-classical metre that uses rhyme and an accentual (stress based) rather than quantititive (vowel length based) verse form.
In music, a sequence is a passage which is successively repeated at different pitches.