No math involved here, just a bit of lateral thinking. Can you figure out what comes next?
2, 4, 8, 4, 4, 1, 3, 2, 7, 8, 3, 3, 6, 3, 4, 5...
Bonus: How about here?
6, 3, 6, 3, 3, 5, 3, 3, 4...
Answer
The first sequence:
Each number in the sequence represents the number of letters in its respective sequential word in the sentence above. This makes the next (and final) number in the sequence:
4: from "next"
Edit: Thanks to @alexmc for the bonus part:
Using the same method as in the first sequence, but with the words from the title, we can count the letters and see that the next (and final) number in the bonus sequence is also:
4: from "jazz"
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