You are asked to drive a lunar rover around the moon (which is just a circle in this question). There are (finitely many) fuel depots on the way, with the total amount of fuel stored in them enough to get around the moon exactly once. Show that there exists a depot from which you can start driving and travel the whole way around the moon, picking up fuel at each depot as you pass, without running out of fuel between depots.
Can I have a hint for this? I've tried induction but I'm having trouble with the induction step.