Definition:Term of Sequence/Index

This page is about index in the context of sequences. For other uses, see index.

Definition

Let $\sequence {x_n}$ be a sequence.

Let $x_k$ be the $k$th term of $\sequence {x_n}$.

Then the integer $k$ is known as the index of $x_k$.

Also see

• Definition:Index (Indexing Set)

Linguistic Note

The plural of index is indices.

Compare vertex and apex, which have a similar plural form.