1/2 (By dividing -1/2)
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The next number is 4, followed by -2
The next number in the sequence is 18. It's +1, +2, +3, +4, ....
-8-4-2-1-1/2-1/4-1/8
18
You add two then take one. 1+2=3, 3-1=2, 2+2=4, 4-1=3. The next number is 5.