Consider the dynamical system [xn+1 yn+1 ] = [0 4 1 0 ] [xn yn ] , [x0 y0 ] = [0 1 ] a) Use the recursive equations implied by the dynamical system to fill the entries in the table. b) Based on the pattern found in the table give me a formula for xn for any given n. Actually there isn't a simple single formula using real numbers, but there is a simple 2-part formula, one for even n and one for odd n. Give me these. c) It is possible to find a single complex formula for xn. The formula you obtain will look complex, but make it clear that it always gives a real number by writing it as the real part of a complex number. As a check use your formula to calculate x8 and x9 and compare with your values in the table