Problem 4. Recall that the Fibonacci numbers are defined by Fo = 0, F1 = 1 and Fn+2 = Fn+1 + Fn for all nE NU{0} (1) Make and prove an (if and only if) conjecture about which Fibonacci numbers are multiples of 3. (2) Make a conjecture about which Fibonacci numbers are multiples of 2020. (You do not need to prove your conjecture.) How many base cases would a proof by induction of your conjecture require