Mandelbrot Function Iteration

This worksheet plots the first [math]n[/math] iterations of the Mandelbrot function [math]f\left(z\right)=z^2+c[/math], with the seed of [math]z=0+0i[/math]. The value of [math]c[/math] is given by the location of the red marker, which can be adjusted. For which values of [math]c[/math] does it appear that the sequence of iterations converges?

Information: Mandelbrot Function Iteration