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According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued any of these ways - some simple, some complicated but all equally valid. Conversely, it is possible to find a rule such that any number of your choice can be the next one.
The simplest polynomial solution is Un = (- 77n4 + 874n3 - 3400n2 + 5321n - 2676)/6 where n = 1, 2, 3, ...and, accordingly, the next term is -693.

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Related Questions

What is the next number 7 218 72 9?

7, 21, 8, 72, 9, ?


What is the next sequence 7 21 8 72 9?

The sequence appears to alternate between two patterns. The first pattern consists of multiplying the previous number by 3 (7 to 21), and the second pattern involves simply increasing the last number by 1 (8 to 9). Following this logic, after 9, the next number should be (9 \times 8 = 72), leading us to conclude that the next number in the sequence is 10, which would continue the pattern. Thus, the next number is 10.


What is the next number 7 21 8 72 9?

The sequence alternates between multiplying a number and then adding one. Starting with 7, multiplying by 3 gives 21, then adding 1 gives 8. Next, multiplying 8 by 9 gives 72, and adding 1 gives 9. Following this pattern, the next step would be to multiply 9 by 11, resulting in 99. Thus, the next number is 99.


What should the next number be 7 21 8 72 9?

243 is one possibility.


What is this sequence called 1 3 5 7 9 11 13 15?

They are a sequence of odd numbers. The next three in the sequence would be 17,19 & 21


What comes next 4 21 5 51 6 81 7 12 9?

72


Prime factorization of 98 using exponents?

(98) = 2 * (49) = 7 * 7 ( both primes, end sequence) so > prime factors are : 21 * 72


Next number in sequence 10 8 7 14 15 13 12 24 25?

21


What number can go in 72 and 21?

3 can go into both these numbers 72/3= 24 21/3= 7


What the next two terms in this sequence 7 3 -1 -5 -9 -13?

-17, -21 Pattern is subtract 4.


What is 42 over 72 simplified?

72/42 = 12/7


What is the next number in the sequence 5-7-13-31?

The next number in the sequence 5-7-13-31 is 69.