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.
Read more about this topic: Sequence
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“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)