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I've never tried creating one of these. I feel it may be either way too easy or way too hard. Hopefully I'm wrong.

What are the next three numbers?

8, 6, 4, 8, 16, 0, 13, _ , _ , _

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23, 17, 7

My guess is based on this being a 24 hour clock, since it was stated that 3 of Akriti's numbers were not possible. And I think there are 2 number sequences, one varies by multiples of 5 and the other by multiples of 2.

I think I have the hard part, but am not sure about the easy part.

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