Definition:Term of Sequence/Also defined as

Term of Sequence: 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.

-- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach: $\S 4.2$

However, this simplistic treatment lacks the precision of the definition provided here, and $\mathsf{Pr} \infty \mathsf{fWiki}$ does not endorse it.

Sources

• 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 4$: Convergent Sequences: $\S 4.2$: Sequences