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What is 2n3 14?

Updated: 9/26/2023
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What is the nth term of 3 8 13 14?

The simplest polynomial, of an infinite number of possible solutions, is Un = (-2n3 + 12n2 - 7n + 6)/3


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What is the logic behind number sequence 4 - 5 - 9 - 18 - 34?

There are many possible answers. One possibility is Un = (2n3 - 3n2 + n + 24)/6


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Given any number at all, it is easy to find a polynomial of degree four that will fit the above numbers and the additional one as the first five of the sequence. A polynomial of degree 3 for the above number is Un = (2n3 - 11n2 + 23n - 12)/3 for n = 1, 2, ... and accordingly, the next number is 31.


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(n2 + 2n - 1) (n2 + 2n - 1) = n4 + 2n3 - n2 + 2n3 + 4n2 - 2n - n2 - 2n + 1 = n4 + 4n3 + 2n2 - 4n + 1 try with n = 5: (5 squared + 10 - 1) squared = 34 squared = 1156 with formula (5^4) + (4 *(5^3)) + (2 * (5^2)) - (4 * 5) + 1 = 625 + 500 + 50 - 20 + 1 = 1156


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