\begin{definition}[Definition:Convergent of Continued Fraction/Odd]
Let $F$ be a field.
Let $n \in \N \cup \set \infty$ be an extended natural number.
Let $C = \sqbrk {a_0, a_1, a_2, \ldots}$ be a continued fraction in $F$ of length $n$.
The '''odd convergents''' of $\sqbrk {a_0, a_1, a_2, \ldots}$ are the convergents $C_1, C_3, C_5, \ldots$, that is, those with an odd subscript.
\end{definition}