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Fibonnaci revisited Fibonacci found a sequence of integers (01 12358 13 21 34...]. This sequence sums the previous two Fibonacci numbers. Start with f 11-0,

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Fibonnaci revisited Fibonacci found a sequence of integers (01 12358 13 21 34...]. This sequence sums the previous two Fibonacci numbers. Start with f 11-0, f[2]=1. Using the difference equation found in part (a), we can view this as a zero-input (zero-excitation) system with initial conditions. (a) What are the roots ( ) of this system? (b) Find the zero-input response equation (c) Find the 28th and 31th Fibonacci numbers with this method, you should show your zero- input response calculation here with MATLAB (or calculator)

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