Definition:Range of Sequence

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

The range of $\sequence {x_n}$ is the set:
 * $\set {x_n: n \mathop \in A}$

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

Some treatments do not bother to give it a name at all, merely referring to it as the set of its elements.

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.