Tower of Hanoi The Tower of Hanoi puzzle is a game in
Chapter 8, Problem 8.4.56(choose chapter or problem)
Tower of Hanoi The Tower of Hanoi puzzle is a game in which three pegs are attached to a board and one of the pegs has n disks sitting on it, as shown in the figure. Each disk on that peg must sit on a larger disk. The strategy of the game is to move the entire pile of disks, one at a time, to another peg. At no time may a disk sit on a smaller disk. (a) Find the number of moves if there are three disks. (b) Find the number of moves if there are four disks. (c) Use your results from parts (a) and (b) to find a formula for the number of moves if there are n disks. (d) Use mathematical induction to prove the formula you found in part (c).
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