q v Exercise 3 {1} El Consider the sequence bu : 3:32\

Q {x} Exercise 3 Consider the sequence bn , and the corresponding series Use SymPy or Excel, whichever you prefer, to investigate the behavior of this series. Does it appear to converge? if not, how does it diverge? If it does converge, what is its value to 10 decimal places? (Type your answers here, in place of this text.) Exercise 4 We discussed in class a method for approximating a solution to any equation where the functions involved are continuous. Assume you know that the solution is in the interval [0, 1]. We began by evaluating the equation at the midpoint of the interval, and then adjusting the interval to a smaller interval containing the solution. Repeating this indefinitely converges to the solution, with better and better approximations. a. If I want to find the solution correct to 4 decimal places, how many times must I repeat the procedure until I can be sure of the desired accuracy? b. In general, how many steps of the procedure give us one additional decimal point of precision in our answer? (Replace this text with your answers.)