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The next number is 31.

3 + 1 = 4
4 + 2 = 6
6 + 3 = 9
9 + 4 = 13
13 + 5 = 18
18 + 6 = 24
24 + 7 = 31
Hello.

In the sequence above, the next number would be 31.
Observe.

3 + 1 = 4
4 + 2 = 6
6 + 3 = 9
9 + 4 =13
13 + 5 =18
18 + 6 =24
24 + 7 = 31

As you can see the rule is: +1 x 2 

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