1. * Consider the sequences (rn) and (sn) defined recursively by r0 = 1, s0 = 0, and rn = rn1/2, sn = sn1 + rn for n 1.

(a) What are the formulas for the n th terms rn and sn of these sequences? (b) What is the floating point binary representation of sn? (c) MATLAB program which generates the sequences (rn) and (sn) recursively, and run it on your computer until the computed values satisfy sn = sn1. you can use a for loop with a break statement. Display the sequence of values of n and sn in two columns. (d) What does this tell you about the storage of real numbers in your computer?