| 11. Here are the iterates. |
| c = 0.2: 0.2, 0.24, 0.258, 0.266, 0.271, 0.273, 0.275, 0.275, 0.276, 0.276. The evidence given by these iterates suggests that c = 0.2 belongs to the Mandelbrot set. |
| c = 0.4: 0.4, 0.56, 0.714, 0.909, 1.227, 1.905, 4.028. At this point we conclude that c = 0.4 does not belong to the Mandelbrot set. |
| c = -1 + 0.3i: -1 + 0.3i, -0.09 - 0.3i, -1.082 + 0.354i, 0.0452 - 0.466i, -1.215 + 0.258i, 0.410 - 0.327i, -0.939 + 0.0321i, -0.120 + 0.240i, -1.043 + 0.243i, 0.0292 - 0.206i. The evidence given by these iterates suggests that c = -1 + 0.3i belongs to the Mandelbrot set. |
| c = -1 + 0.4i: -1 + 0.4i, -0.16 - 0.4i, -1.134 + 0.528i, 0.008 - 0.798i, -1.637 + 0.387i, 1.529 - 0.867i, 0.585 - 2.251i. At this point we conclude that c = -1 + 0.4i does not belong to the Mandelbrot set. |
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