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 \(s\).