Math, asked by andong, 5 months ago

You are given a set of five and a set of seven contiguous boxes as shown in the figures above.
Your task is to move all the reds from the left to the right and all the blacks from the right to the
left. The middlebox is empty to allow moves.
The moves follow strict rules.
Rule # 1: the reds can only move to the right and the blacks can only move to the left. No
backward moves are allowed
Rule # 2: Equally applicable to the black and the reds, each dot can only move one step forward
in the box in front of it is empty, and can skip the contiguous box is occupied by a different
colored dot to the following box if empty.
1. While moving your pieces, carefully record all the moves you made. Start first with the
5-boxes set, then the 7-boxes set
2. Try the same rules for a 9-boxes set and then for an 11-boxes set. Record all your moves
on paper
3. Examine all four cases and find a pattern that relates the number of moves to the number of
dots. Explain how you arrived at this conclusion
4. Create a general formula that will give the number of moves based on the number of dots
regardless of how many dots you have.

Answers

Answered by princejat429
1

Answer:

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Answered by varsha5160
1

Answer:

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