Question

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?

Answer 1

sorry, not in my area of expertise.

Perhaps drwls, Damon, bobpursley or DrBob or others can help out here.

Answer 2

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