18
3
4 (3+1)
6 (4+2)
9 (6+3)
13 (9+4)
18 (13+5)
...and so on
31
18 3 +1 4 +2 6 +3 9 +4 13 +5 18 +6 24 +7 31 +8 39 +9 48 +10 58...
35
The next number in the sequence is 18. It's +1, +2, +3, +4, ....
3. It is the number of letters in the names of positive integers in English.
18
18. 3+1=4, 4+2=6, 6+3=9, 9+4=13, 13+5=18.
31
The sequence alternates between a number and that number plus one. After 2 comes 3, after 3 comes 12, after 12 comes 13, after 13 comes 52, and after 52 comes 53. Following this pattern, the next number after 53 would be 212, as it follows 52 multiplied by 4 (the previous non-incrementing number). Therefore, the next number in the sequence is 212.
The pattern alternates between two sequences: one decreasing by 1 (18, 13) and the other decreasing by 2 (4, 6). Following this pattern, the next number after 6 should be 3 (6 - 3), and the next number after 13 should be 12 (13 - 1). Thus, the next two numbers in the sequence are 12 and 3.
14
18 3 +1 4 +2 6 +3 9 +4 13 +5 18 +6 24 +7 31 +8 39 +9 48 +10 58...
24 + 1 + 3 + 6 then repeat so 23 + 1 = 24
11 comes next.
16.
22
35