| 16. The first few iterates are |
| z1 = 03 + .25i = .25i |
| z2 = (.25i)3 + .25i = .2344i |
| z3 = (.2344i)3 + .25i = .2371i |
| z4 = (.2371i)3 + .25i = .2367i |
| z5 = (.2367i)3 + .25i = .2367i |
| z6 = (.2367i)3 + .25i = .2367i |
| The iterates appear to converge to a fixed point, suggesting that c = i/4 belongs to the cubic Mandelbrot set. |
Return to Homework 10 Practice.