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There are many different rules that will generate any given sequence.

One option is t(n) = n3 - 3n2 + 8n + 1 for n = 1, 2, 3, ...

another is t(n) = 3*2n + 1 for n = 1, 2, 3, ...

Which one of these depends on whether the next term is 157 (cubic) or 97 (power).

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13y ago

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