Add 3n-1. For example
1 + 30 = 2
2 + 31 = 5
5 + 32 = 14
14 + 33 = 41
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+2, +3, +2
x4
The pattern rule is: 4 5 6 7 8 and so the next number will be 33+9 = 42
Multiply by 4
There are many possible answers. One possible rule is: Un = (3n4 - 18n3 + 69n2 - 54n + 120)/8 for n 1, 2, 3, ...