1. (10 pts) State whether the sequence converges or diverges. If the sequence converges, find its limit. (similar to 10.1 #40) ya = (1+ 2)2n Hint: Change the fraction to ("), take the logarithm of y, and then let n - co , using L'Hopital's rule. 2. (10 pts) Calculate - and use that value to determine whether the sequence an is monotonic increasing, monotonic decreasing, or neither. (10.1 #62) n+ 2 an= n 3. (10 pts) A super ball is thrown 20 feet straight up into the air, and on each bounce it rebounds to 75% of its previous height. Represent the total distance traveled by the ball as a sum. (similar to 10.2 #30) Bouncing Golf Ball (This is not the ball's path. The actual motion Fig. 1 Bounce