Continued fractions

This is a guest post by David Benjamin. In this article we will explore continued fractions, which are of the form \( a_{0}+\frac{1}{a_{1}+\frac{1}{a_{2}+\frac{1}{a_{3}+\dots}}} \) and are often written as \( [a_{0}; a_{1}, a_{2}, a_{3},… ]\). The numerators on each level of a continued fraction are usually all equal to \(1\). Continued fractions can be used…