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It appears to increase by 9 each time, which is characterized in 2 digit numbers by the left digit increasing by one while the right digit decreases by one. Using this pattern, it can be deduced that the next number in the sequence is 62.

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11y ago
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9y ago

Any number can be the nth number. It is easy to find a rule based on a polynomial of order 5 such that the first five numbers are as listed in the question. 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.

The simplest polynomial, of order 3, is

T(n) = n^2 - 2n + 3 for n = 1, 2, 3, ...

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Q: What is the nth term for 17 26 35 44 53?
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