Sequence

Sequences are ordered element lists, which are used in many respects in discrete mathematics. They can, for example, be used to solve certain counting problems. They are also a key computer science data structure.The sequence terms can be specified with a formula for each sequence term.

Definition

A sequence is a discrete structure used to represent an ordered list.

For Example:

1,2,3,6,8 is a sequence with five terms and 1, 3, 9, 27, 81 , . . . , 3n, . . . is an infinite sequence.

A Sequence can also be defined as a function whose domain is either the set of the natural numbers (for infinite sequences) or the set of the first n natural numbers (for a sequence of finite length n). [Wikipedia]

We use the notation an to denote the image of the integer n.
We call an a term of the sequence.

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