Definition:Term of Sequence

Definition
The elements of a sequence are known as its terms.

Let $\left \langle{x_n}\right \rangle$ be a sequence.

Then the $k$th term of $\left \langle{x_n}\right \rangle$ is the ordered pair $\left({k, x_k}\right)$.

Also defined as
Some sources gloss over the fact that a sequence is a mapping and define the terms to be the elements of the range of the sequence:
 * We call $x_n$ the $n$th term of the sequence.
 * -- : $\S 4.2$

However, this simplistic treatment lacks the precision of the definition provided here, and does not use it.

Also known as
A term of a sequence is referred to in some sources as an element of the sequence.