2. (8 marks) a) Recall the Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144... Which of the following is a better approximation of the golden ratio, 144 or 21 89 13 ? Justify your answer. b) Recall that the Fibonacci sequence can be defined as Fn = Fn-1 + Fn-2 with the initial values Fo = 1 and F1 = 1. 1 . Can we change the initial values Fo and F1 so that every term in the sequence is even? Why or why not? ii. Can we change the initial values Fo and F1 so that every term in the sequence is odd? Why or why not