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The next number is eight.

If you look at the differences between the numbers, you can see that two different operations are being done. The first operation is to add a certain amount, and the next operation is to divide by that same amount. The amount used is then incremented by one, and the process repeated.

40 + 2 = 42

42 / 2 = 21

21 + 3 = 24

24 / 3 = 8

8 + 4 = 12

12 / 4 = 3

and so on.

The sequence then, continues as follows:

40, 42, 21, 24, 8, 12, 3, 8, 8/5, 38/5, 38/11, 115/11, 115/77, ...

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13y ago

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