Modeling with Sequences and Series Answers

The simplest version of the game has only one disk.What is the minimum number of moves it would take to move one disk from one peg to the other?

and =

Which formula can be used to find any term for this sequence? Check all that apply.

This sequence contains numbers that are powers of .

The more disks that are added to the tower, the more difficult the game becomes.What is the minimum number of moves it would take to move two disks from one peg to the other?

The least number of moves is .

Which steps did you include in your explanation after moving the small disk to the right peg?

First, consider the number of moves as a sequence: 1, 3, 7, 15, 31, 63, …To find a pattern, look at the differences between consecutive terms. These differences also form a sequence.3 – 1 = 2, 7 – 3 = 4, …Complete the sequence:2, 4, ,

Question text not available

The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with: =

In the previous task you saw that the number of moves to solve the Tower of Hanoi with n disks given by the equation What is the fewest number of moves required for 7 disks?