You know how to write the equation of a continuous function that passes through the discrete points of a sequence, (n, un). For example, the function y = 200(0.8)x - 1 passes through the sequence of points representing the distance in inches that a ball falls on each bounce. Write a continuous function that passes through the points representing the total distance the ball has fallen on each bounce, (n, Sn). How can you use the function to find any partial sum or the sum of infinitely many terms? In general, what continuous function passes through the points of a geometric series? Through the points of an arithmetic series?