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Any number can be the next number. It is easy to find a rule based on a polynomial of order 7 such that the first seven numbers are as listed in the question followed by the chosen next number. There are also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one.

Furthermore, many rules can be used repeatedly so that the sequence is never completed - it is simply extended.

One possible solution for the underlying rule for this sequence, based on a polynomial of order 6 is:

t(n) = 0.19861n^6 - 3.095832n^5 + 11.131941n^4 + 42.895829n^3 - 350.330560n^2 + 674.2n - 309 for n = 1, 2, 3, ...

Accordingly, the next number is 843.

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9y ago
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8y ago

Answer 61 73-66= 7

21-13 = 8

?? -52= 9

20-10 = 10

??=61

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Q: What number would complete the pattern 66 73 13 21 52 - 10 20?
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