# Definition:Ordered Tuple/Term

## Definition

Let $n \in \N_{>0}$.

Let $\sequence {a_k}_{k \mathop \in \N^*_n}$ be an ordered tuple.

The ordered pair $\tuple {k, a_k}$ is called the $k$th term of the ordered tuple for each $k \in \N^*_n$.

## Also defined as

Some treatments of this subject treat the $k$th term of an ordered tuple as just the element $a_k$.

However, this is an oversimplification which obscures some of the crucial detail of the definition of what an ordered tuple actually is.