When we worked on The Tower of Hanoi puzzle yesterday we tried to find a pattern that would help us solve it; some of us did it by counting the number of steps; others did it by trying to visualize a pattern as we moved the circles around; now it's time to find a way to express the pattern that we found in two ways: with a sentence that explains the pattern and finally with mathematical symbols. The link named Tower will bring you to an applet that allows you to play the game. Then answer the questions below.
1. Write a description of how you solved the puzzle for three disks.
2. How did you know that you found the least number of steps?
3. Using x = the number of disks, write a mathematical expression to describe the pattern.
Post the answers in the comment window on the link below.
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