1. A very energetic kangaroo is tied to a post by an innitely stretchable rubber band. On the post sits a ea, desperate to get to the kangaroa. But before the ea can do anything, the kangaroo jumps away, landing 100 yards from the post. The ea jumps too, landing on the rubber band, 1 yard from the post. The kangaroo jumps 100 yards again, stretching the rubber band: so he is now 200 yards away from the post, and the ea is 2 yards away. Then the ea again jumps 1 yard further on the rubber band. If the kangaroo and the ea keep taking turns this way, does the ea ever catch up to the kangaroo? (Justify your answer! A mere "yes" or "no" will count for nothing.)