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- Words:
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- Submitted:
- Sun Dec 21 2008
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... Mathematic Coursework Hossay Rahimy 11 Fisher Introduction In this coursework I am going to investigate to see how many squares would be needed to make any cross-shape built up in this way. ?? ?? We can see that number of black is the total number of the pattern before. A Pattern Black White Total 1 1 4 5 2 5 8 13 3 13 12 25 4 25 16 41 5 41 20 61 6 61 24 85 White To get the formula for the a quadratic sequence is: An²+ B+ C I have to find a formula for the nth term of this number sequence: 4, 8, 12, 16, 24, White 4 8 12 16 20 24 Difference 4 4 4 N term 4N The first difference is a constant for the white pattern, so the nth term is: 4N Black I have to find a formula for the nth term of this sequence: 1, 5, 13, 25, 41, 61, Black: 1 5 13 25 41 61 \ / \ / \ / \ / \ / First differences are not the same: 4 8 12 16 20 \ / \
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