Machine Learning: What program will derive the underlying algorithm in this series?
Without any a priori knowledge, the problem is insoluble. There are infinitely many possible answers and you have no wat at all to say that one of them is preferable to any of the others. How can you possibly tell just by manipulating symbols that the sequence is "Counting in binary using A and B for 0 and 1" rather than "B, BA, BB, BAA, BAB, BBA, BBB, BAAA, BAAB, BABA, BABB, BBAA, widgeon, 27, expunge" followed by a list of the squares of every third prime, number written in base-14 using Hebrew letters instead of the even digits?

Wait &ndash; how would you even know that there is a next element?