Definition:Continued Fraction/Finite

Definition
Let $a_1 \in \R$ be any real number and $a_2, a_3, \ldots, a_n$ be any positive real numbers.

Then the expression:


 * $a_1 + \cfrac 1 {a_2 + \cfrac 1 {a_3 + \cfrac 1 {\ddots \cfrac {} {a_{n-1} + \cfrac 1 {a_n}} }}}$

is a finite continued fraction.

A finite continued fraction is often abbreviated FCF.