Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = 5i.

Apply the function repeatedly, starting with z₀ = 5i. First, z₁ = 2(5i) + (3 − 2i) = 3 + 8i. Then z₂ = 2(3 + 8i) + (3 − 2i) = 9 + 14i, and z₃ = 2(9 + 14i) + (3 − 2i) = 21 + 26i. These iterates match choice C.

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