Asked by Lucy

find the first three iterates of the function f(z) = z^2+z-i if the initial value is i.

My answers were: z=i; z1= -1, z2 = i, and z3 = i

Is this right?

Answers

Answered by Reiny
sorry, not in my area of expertise.

Perhaps drwls, Damon, bobpursley or DrBob or others can help out here.
Answered by Damon
start with f(z) = i as directed
then
f(i) = -1 +i - i = -1 check
f(-1) =+1 -1 - i = -i do not check
f(-i) =-1 -i - i = -1 -2i
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