# Chapter 6, Exploration 35

The binary expansion of the point $$s = .010101\ldots$$ is given in the textbook. The slider below for $$n$$ moves through the points in the expansion of $$s$$, narrowing the intervals in which $$s$$ can be found. $$s$$ is always in the orange interval. Explore how this interval changes as you adjust the slider. Think carefully about what this means in terms of the coordiantes of $$s$$.

n: