SOLUTION: Find the first three iterates of the function shown below. f(z) = z^2 - c for c = -i and z_0 = i (the z_0 is an underscored z with a zero, almost like an opposite exponent) -

Algebra ->  Finance -> SOLUTION: Find the first three iterates of the function shown below. f(z) = z^2 - c for c = -i and z_0 = i (the z_0 is an underscored z with a zero, almost like an opposite exponent) -      Log On


   



Question 1035622: Find the first three iterates of the function shown below.
f(z) = z^2 - c for c = -i and z_0 = i (the z_0 is an underscored z with a zero, almost like an opposite exponent)
-1 + i, -2i, -4 + i
-1 - i, i, -1 - i
-1 - i, 2i, 4 - i
-1 + i, -i, -1 + i

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Ooooh, a fractal math problem...for
z%5B0%5D+=+i and c = -i
z%5B1%5D+=+i%5E2+-+%28-i%29+=+-1+%2B+i
z%5B2%5D+=+%28-1+%2B+i%29%5E2+-+%28-i%29+=+-i
Already the last choice is the only one that matches...