8, 9, 12, 19, 34, (…)
first difference
$$9 - 8 = 1$$
$$12 - 9 = 3$$
$$19 - 12 = 7$$
$$34 - 19 = 15$$
second difference
3 - 1 = 2
7 - 3 = 4
15 - 7 = 8
15 + 16 = 31
now add 31 to 34
34 + 31 = 65
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