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Refer to figures shown to the right. The method of successive differences can be applied to the sequence of interior regions, to find the

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Refer to figures shown to the right. The method of successive differences can be applied to the sequence of interior regions, to find the number of regions determined by seven points on the circle. What is the next term in this sequence? How many regions would be determined by eight points? The next term in the sequence is 2 16, 15 28 27/29 30 2 3 14 13 10 25 24 12 3 20 23 4 67 22 19 5 18 21 8 13 12 11

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