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Any number that you choose 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. And that does not complete the pattern, simply continues it. 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. One possible answer is 843.

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7y ago
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Q: What is the number to complete the pattern 66 73 13 21 52 10 20?
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