Given an innite series, I can compute the partial sums for that series. I can compute the value ofan innite series as a limit ofpartial sums. I can identify geometric and telescoping series, determine when they diverge, and compute their value when they converge. I can identify divergent series by relating them to the harmonic series or by applying the Test for Divergence. 1. Whenever a certain ball is dropped it then bounces repeatedly, rising to a lower height each time until it eventually stops. If the ball bounces to 60% of the previous height, what is the total distance that the ball travels? Notes: You are asked for distance, not displacement. The displacement of the ball has a magnitude equal to the original height of the ball. Imagine taking the path of motion of the ball as it bounces and then stretching that path out into a straight line. How long is that path? It is a good idea to draw a picture. You are not told the initial height, so assign that to a symbol and express your answer in terms of that symbol