Find the first four iterates of the function f (z) = z^2-2-2t with an initial values of z0=2+i.

When i = 1

z = 3

f (3) = 7 - 2t

When i = 2

z = 4

f (4) = 14 - 2t

When i = 3

z = 5

f (5) = 23 - 2t

When i = 4

z = 6

f (6) = 34 - 2t

Therefore, the first four iterates are

f (3) = 7 - 2t

f (4) = 14 - 2t

f (5) = 23 - 2t

f (6) = 34 - 2t