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There are infinitely many polynomials of order 6 that will give these as the first six numbers and any one of these could be "the" rule. 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.

For example,

U(n) = 0.1*n^6 - 2.1*n^5 + 17.5*n^4 - 73.5n^3 + 164.4*n^2 - 206.4*n + 184 will do the trick.

The simplest solution, based on a polynomial of degree 2, is

V(n) = 2*n^2 - 30*n + 112.

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8y ago
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Q: What is the nth term formula of 84 60 40 24 12 4?
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