The sequence provided is: 2, 3, 5, 8, 13.
To find the pattern, observe the differences between consecutive terms:
- 3 - 2 = 1
- 5 - 3 = 2
- 8 - 5 = 3
- 13 - 8 = 5
The differences are: 1, 2, 3, 5. Notice that the differences themselves seem to form a sequence (1, 2, 3, 5), which resembles the Fibonacci sequence.
Continuing the pattern, the next difference would be: 2 + 3 = 5 → thus, the next difference should be 8 (5 + 3).
Now, add this new difference to the last term of the sequence:
13 + 8 = 21.
So, the next number in the sequence is 21.
Therefore, the answer is 21.