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What is the nth term for 17 12 34 18 68?

Updated: 8/21/2019
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9y ago

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Any number that you choose 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, and the nth is the number of your choice. 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 rule, based on a polynomial of order 4 is

t(n) = (169*n^4 - 1950*n^3 + 7799*n^2 - 12402*n - 6792)/24 for n = 1, 2, 3, ...

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9y ago
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Q: What is the nth term for 17 12 34 18 68?
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