Start by adding 7, then add 7x2, then 7x4, then 7x8, etc.
2 + (7x1) = 9
9 + (7x2) = 23
23 + (7x4) = 51
51 + (7x8) = 107
The next number is 219.
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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, ...