Mathias will have to go out in the hall exactly 100 meters away from the door and pause for a minute. the he is allowed to walk exactly halfway to the door and pause for another minute. then he can again walk exactly half the remaining distance to the door and pause again, and so on. mr. c says that when mathias reaches the door he can leave, unless he breaks the rules and goes more than halfway, even by a ring tiny amount. when can mathias leave? prove your answer using multiple representations.