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I need some help with the following: I understand that by using x_{n}= ax_{n-1}+b we can generate a full sequence of numbers. For example, if x_{1}=ax_{0}+b, then x_{2}= ax_{1}+b = a^{2}x_{0}+ab+b, and so on and so forth to x_{n}. I need help applying this same concept to complex numbers (a+bi). Is it even possible? I think it is, but I can't figure it out. Can some one lend a hand?

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# Generating full sequence with complex numbers.

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