Definition:Range of Sequence

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Definition

Let $\sequence {x_n}_{n \mathop \in A}$ be a sequence.


The range of $\sequence {x_n}$ is the set:

$\set {x_n: n \in A}$


Also known as

Some treatments of this subject refer to the range of a sequence as the associated set of the sequence.


In keeping with the naming convention on this site it would make sense to refer to this object as the image of (the sequence) $\sequence {x_n}$.

However, this is rarely seen in the published literature.


Sources