IQ test(tentative version)

1, 4, 8, 14, 20, 30, ... What is the next number in this series?
38
40
42
44
46
I don't know
If one can only move on the gridline, either right or downward, how many possible ways can one choose to move from A to B?
10
25
36
81
196
252
512
I don't know
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