question archive Let Z0 = I, Z1 = 1+i, and for n ≥ 2 define Zn = Zn−1Zn−2
Let Z0 = I, Z1 = 1+i, and for n ≥ 2 define Zn = Zn−1Zn−2
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Let Z0 = I, Z1 = 1+i, and for n ≥ 2 define Zn = Zn−1Zn−2. Prove that, for every non-negative integer n, Re(zn) Im(zn) = 0 if and only if 3 | n.
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