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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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What number would you like to be next?

The next number is 42 as the formula for each term is given by:

U{n} = (147n⁵ - 2513n⁴ + 15991n³ - 46675n² + 61562n - 28344)/24

Q: What is next in sequence 7 21 8 72 9?

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243 is one possibility.

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

In fact, what are the next 2 numbers: 7, 14, 17, 21, 27, 28, 35, 37, ?, ? The next two numbers are 42 and 47. It's a set of numbers that contain or can be divided by 7.

The next number in the sequence will be 56.

49

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7, 21, 8, 72, 9, ?

243 is one possibility.

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

72

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

21

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

-17, -21 Pattern is subtract 4.

72/42 = 12/7

In fact, what are the next 2 numbers: 7, 14, 17, 21, 27, 28, 35, 37, ?, ? The next two numbers are 42 and 47. It's a set of numbers that contain or can be divided by 7.

7

The next number in the sequence will be 56.