# Interesting Sequence

Algebra Level 2

Consider the following sequence $1, 1, \frac{1}{2}, 1, \frac{2}{3}, \frac{1}{3}, 1, \frac{3}{4}, \frac{1}{2}, \frac{1}{4}, \cdots,$ and let $$A_n$$ denote the $$n^{\text{th}}$$ term. What is the term $$A_{164}?$$

×