Consider a sequence {ak} of numbers defined by 0o = 1, a = 0 44-2+ 3 ak = 20 for all k 2. (a) (6 points) Set up an appropriate discrete dynamical system which can be used to find a formula for a (b) (6 points) Use methods from the course to find a formula for ak. (c) (4 points) Show that a7 10100 Express your answer k in terms of logarithms first, and then use a calculator to figure out what k is. You do not have to give ax (it has over 100 digits!) Consider a sequence {ak} of numbers defined by 0o = 1, a = 0 44-2+ 3 ak = 20 for all k 2. (a) (6 points) Set up an appropriate discrete dynamical system which can be used to find a formula for a (b) (6 points) Use methods from the course to find a formula for ak. (c) (4 points) Show that a7 10100 Express your answer k in terms of logarithms first, and then use a calculator to figure out what k is. You do not have to give ax (it has over 100 digits!)