Sequence - Examples and Notation

Examples and Notation

There are various and quite different notions of sequences in mathematics, some of which (e.g., exact sequence) are not covered by the notations introduced below.

In addition to identifying the elements of a sequence by their position, such as "the 3rd element", elements may be given names for convenient referencing. For example a sequence might be written as (a1, a2, a3, … ), or (b0, b1, b2, … ), or (c0, c2, c4, … ), depending on what is useful in the application.

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    No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.
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