# Chapter 3, Exploration 2

Explore the dynamics of the linear system $$x_{n+1} = mx_n +b$$ when $$b = 0$$. You should pay particular attention to how chaniging the value of $$m$$ with the slider affects the fixed point and/or its stability. The initial condition for this tool is $$x=2$$. There are three views available. You can select a table of the system, a plot of the points in the sequence with $$n$$ on the horizontal axis, or a stairstep diagram.

Describe what you see.

m: