Similar to the previous two-part question, if you find part b to be an appropriate challenge please leave part a to those who are appropriately challenged by it. This question is courtesy of mfb An immortal snail is at one end of a perfect rubber band with a length of 1km. Every day, it travels 10cm towards the other side. Every night, the rubber band gets stretched uniformly by 1km. As an example, during the first day the snail will advance to x=10cm, then the rubber band gets stretched by a factor of 2, so the snail is now at x=20cm on a rubber band of 2km. Will the snail ever arrive at the other side, and if yes, how long does it take approximately?