Python coinding problem for beginning the chapter: 1. The following difference equation Xk+1 = Ik +xk-1 specifies the Fibonacci sequence. Assuming Co = 0 and 21 = 1, use a loop in Python to calculate 230- Be sure to test your code by calculating Ik for small values of k that can be easily verified by hand. 2. Suppose the sequence of numbers xo, X1, ..., Xk,... satisfies the given nonlinear difference equation and initial condition Xk+1 = 2.5.2k (1 - xk), Co = 0.5 (1) Use Python to plot the sequence 20, 21, ..., 130. Based on the numerical evidence, conjecture the value of lim Ik k-00