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5 20 24 6 2 8 find next term in the series? - Answers

I am assuming that the question is about a sequence, not a series. The two are related but are not the same.Given any number it is easy to find a rule based on a polynomial of order 6 such that the first six numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.The simplest polynomial of order 5 isUn = (-87n5 + 1540n4 - 9965n3 + 28460n2 - 34228n + 14880)/120 where n = 1, 2, 3, ...Accordingly, the next number is -107.



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5 20 24 6 2 8 find next term in the series? - Answers

https://math.answers.com/math-and-arithmetic/5_20_24_6_2_8_find_next_term_in_the_series

I am assuming that the question is about a sequence, not a series. The two are related but are not the same.Given any number it is easy to find a rule based on a polynomial of order 6 such that the first six numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.The simplest polynomial of order 5 isUn = (-87n5 + 1540n4 - 9965n3 + 28460n2 - 34228n + 14880)/120 where n = 1, 2, 3, ...Accordingly, the next number is -107.



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https://math.answers.com/math-and-arithmetic/5_20_24_6_2_8_find_next_term_in_the_series

5 20 24 6 2 8 find next term in the series? - Answers

I am assuming that the question is about a sequence, not a series. The two are related but are not the same.Given any number it is easy to find a rule based on a polynomial of order 6 such that the first six numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.The simplest polynomial of order 5 isUn = (-87n5 + 1540n4 - 9965n3 + 28460n2 - 34228n + 14880)/120 where n = 1, 2, 3, ...Accordingly, the next number is -107.

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      I am assuming that the question is about a sequence, not a series. The two are related but are not the same.Given any number it is easy to find a rule based on a polynomial of order 6 such that the first six numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.The simplest polynomial of order 5 isUn = (-87n5 + 1540n4 - 9965n3 + 28460n2 - 34228n + 14880)/120 where n = 1, 2, 3, ...Accordingly, the next number is -107.

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