0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ?

28
30
32
35

The answer is $\boxed{31}$.

The sequence is a list of numbers that are generated by the following rule:

  • Start with the numbers 0 and 2.
  • Add 1 to the first number, and 3 to the second number.
  • Repeat the process, adding 1 to the first number and 3 to the second number.

The first few numbers in the sequence are:

  • 0, 2
  • 3, 5
  • 5, 8
  • 8, 10
  • 10, 15
  • 15, 17
  • 17, 24
  • 24, 26
  • 26, 31

The next number in the sequence is 31, which is obtained by adding 1 to 26 and 3 to 30.