hardmath

If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door.

Common Wrong Answers

4 moves

This guess assumes that moving half the distance each time will eventually lead to reaching the door, but it overlooks the fact that the distances keep halving infinitely.

8 moves

This guess suggests that after 8 moves, you will have covered the 8 feet, but each move only covers half the remaining distance, never actually reaching the door.

1 move

This guess implies that one move is sufficient to reach the door, which is incorrect because each move only covers half the distance, so you will still be 4 feet away after the first move.