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What is the nth term for 0 3 8 15 24?

Updated: 4/28/2022
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9y ago

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There are infinitely many rules based on polynomials of order 5 or above, as well as 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 or order 2 is

Un = n^2 - 1.

But it can also be

Un = (-n^5 + 15n^4 - 85n^3 + 245n^2 - 274n + 100)/20.

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Q: What is the nth term for 0 3 8 15 24?
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