With only two numbers it is difficult to find a pattern but I would imagine that this is a simple one since those are the only two numbers provided. If you do 21-13=8 you see that the difference is 8 so therefore, you would add 8 to each continuing number of the sequence.
The pattern would be 13, 21, 29, 37, 45, 53, 61, 69
24, they are going up in 3's, 13, 16, 19 and 18, 21 so next number is 24.
24
35
21
43
If you mean: 1 1 2 3 5 8 13 21 then the next number is 13+21 = 34
The next number will be 13+21 = 34
21
If you mean: 1 2 3 5 8 13 then the next number is 8+13 = 21
24, they are going up in 3's, 13, 16, 19 and 18, 21 so next number is 24.
the next number is 21 because it is adding the last number stated.
24
the answer will be 21
24
35
34
21