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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.
The simplest solution in this case is based on the cubic equation:U(n) = (5*n^3 - 24*n^2 + 19*n + 27)/3 for n = 1, 2, 3, ... and, accordingly, the next term in the sequence is 49.


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8y ago

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