One of the most useful techniques for discovering patterns in sequences is
the successive difference method. For example, suppose that we need
to get the next term in the sequence:
Now that we have a sequence that we recognize, we can work backwards. The next term in sequence 3 should be -3. We add this to the last term in sequence 2 to get its next term: 4 + (-3) = 1. Now that we have the next term for sequence 2, we add it to the last term of the original sequence to get the next term of that sequence: 91 + 1 = 92.
The successive difference method works very well for many problems of this type, though not for all of them (as you will discover if you try it on the three sequences in this puzzle).