It would be 5, then 8/5. The pattern is +2, /2, +3, /3, +4, /4, +5, /5, and so on.
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-8
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, ...
The pattern is +2 /2 +3 /3 +4 /4, and the next term would be +5, or 8.
Followed by 1.6 then 7.6 then 1.266666667 then 8.266666667 then 1.180952380 then 9.180952380 then 1.147619047 These are rounded to the 9th decimal.
16