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Here's the pattern I came up with:

1 = 12

3 = 3 x 20

4 = 22

6 = 3x21

9 = 32

12 = 3x22

16 = 42

so using this pattern above the next number should be 3x23 or 24.

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Q: What is the next number pattern in the sequence 1-3-4-6-9-12-16?
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