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The next number would be 18.
3, 4, 6, 9, 13
To get from 3 to 4, you need to add one. To get from 4 to 6, you need to add two. To get from 6 to 9, you need to add three. And so on and so on.

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Q: 3 4 6 9 13 which best completes this sequence?
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