Consider the Mandelbrot sequence with seed s = -0.5. (a) Using a calculator find s1

Chapter 12, Problem 49

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QUESTION:

Consider the Mandelbrot sequence with seed s = -0.5. (a) Using a calculator find s1 through s5, rounded to four decimal places. (b) Suppose you are given sN = -0.366. Using a calculator find sN+1, rounded to four decimal places. (c) Is this Mandelbrot sequence escaping, periodic, or attracted? Explain.

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QUESTION:

Consider the Mandelbrot sequence with seed s = -0.5. (a) Using a calculator find s1 through s5, rounded to four decimal places. (b) Suppose you are given sN = -0.366. Using a calculator find sN+1, rounded to four decimal places. (c) Is this Mandelbrot sequence escaping, periodic, or attracted? Explain.

ANSWER:

Step 1 of 4

(a)

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