Start with the interval Io = [0, 1]. The rule for choosing subintervals In = [an, bn] is: . If n is a multiple of 4, then let In be the left half of In-1. . If n is not a multiple of 4, then let In be the right half of In-1. (a) Find I1, 12, Is and I4. (b) What is a12? (c) Let c = lim an. What are the first 6 decimal digits of c. (d) Suppose that we wanted to have c = lim an equal to 2. Give a rule for choosing n-too the subintervals which does this