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According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued any of these ways - some simple, some complicated but all equally valid. Conversely, it is possible to find a rule such that any number of your choice can be the next one.
The simplest polynomial solution is Un = (- 77n4 + 874n3 - 3400n2 + 5321n - 2676)/6 where n = 1, 2, 3, ...and, accordingly, the next term is -693.

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7y ago

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