To state: A formula for the sequence and the minimum number of moves required to move 6 rings, 7 rings, 8 rings if a move consists of moving exactly one ring, and no ring may be placed on top of a smaller ring.
The minimum number
The resultant formula is
Given information:
The minimum number
Explanation:
Consider the given information:
The minimum number of moves required to move n rings is 1 for 1 ring, 3 for 2 rings, 7 for 3 rings, 15 for 4 rings, and 31 for 5 rings.
The sequence can be formed for the above said information:
The sequence can be written as:
Now the formula for the nth term is:
Now substitute n as 6 to find out moves required to move 6 rings,
Now substitute n as 7 to find out moves required to move 7 rings,
Now substitute n as 7 to find out moves required to move 7 rings,
Therefore, the minimum number of moves required to moves 6 rings, 7 rings, and 8 rings are 63, 127, and 255 respectively.
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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