Editing Sequence (section)

===Examples===
[[File:Fibonacci blocks.svg|thumb|A [[Tessellation|tiling]] with squares whose sides are successive Fibonacci numbers in length.]]

The [[prime number]]s are the [[natural numbers]] greater than 1 that have no [[divisor]]s but 1 and themselves. Taking these in their natural order gives the sequence (2, 3, 5, 7, 11, 13, 17, ...). The prime numbers are widely used in [[mathematics]], particularly in [[number theory]] where many results related to them exist.

The [[Fibonacci numbers]] comprise the integer sequence in which each element is the sum of the previous two elements. The first two elements are either 0 and 1 or 1 and 1 so that the sequence is (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...).<ref name=":0" />

Other examples of sequences include those made up of [[rational numbers]], [[real number]]s and [[complex numbers]]. The sequence (.9, .99, .999, .9999, ...), for instance, approaches the number 1. In fact, every real number can be written as the [[limit of a sequence|limit]] of a sequence of rational numbers (e.g. via its [[decimal expansion]], also see ''[[completeness of the real numbers]]''). As another example, [[pi|{{pi}}]] is the limit of the sequence (3, 3.1, 3.14, 3.141, 3.1415, ...), which is increasing. A related sequence is the sequence of decimal digits of {{pi}}, that is, (3, 1, 4, 1, 5, 9, ...). Unlike the preceding sequence, this sequence does not have any pattern that is easily discernible by inspection.

Other examples are sequences of [[function (mathematics)|function]]s, whose elements are functions instead of numbers.

The [[On-Line Encyclopedia of Integer Sequences]] comprises a large list of examples of integer sequences.<ref>[https://oeis.org/wiki/Index_to_OEIS Index to OEIS] {{Webarchive|url=https://web.archive.org/web/20221018125328/https://oeis.org/wiki/Index_to_OEIS |date=2022-10-18 }}, On-Line Encyclopedia of Integer Sequences, 2020-12-03</ref>