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1937 and 7617.

The first four terms seem to suggest a power sequence such as Un = (-1/2)*(-4)n but the last term does not fit.

One possibility which does fit all five data points is:

Un = (791n4 - 8898n3 + 34213n2 - 52458n + 26400)/24 for n = 1 , 2, 3, ...

This rule gives the above answers.

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11y ago
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