A difference table will give you a clue to a possible explanation for each partial sequence.
In the first, the first differences are -9, 18, -8 and 16, which suggests that subsequent 1st differences might be -7 and 14.
In the second, the first differences are 9, -8, 19, -18 which suggests that subsequent 1st differences might be 29 and -28.
The 3rd sequence has 2nd differences of 14, 56 and 224 which suggests that 2nd differences are a geometric series with first term 14 and ratio 4.
In the 4th sequence the first differences are 14, -13, 64 and -63 which suggests the next 1st differences are 124 and -123.
As is usual in problems of this sort in which only a few terms of a sequence are given, there may be other explanations for the terms given, but the ones I have made are plausible.
