# Definition:Sequence of Partial Quotients

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## Definition

Let $F$ be a field.

Let $n \in \N\cup\{\infty\}$ be an extended natural number.

Let $C$ be a continued fraction in $F$ of length $n$.

The **sequence of partial quotients** of $C$ is just $C$ itself.

That is, a continued fraction equals its **sequence of partial quotients**.