The tasks which can be reduced to finite integer sequences are absolutely arbitrary.
E.g. you're given a finite set of pictures and expected to guess what the next picture is from a few possibilities. The answer is that it's all of them since any finite sequence has an infinite number of generating functions. The only way to get it right is to try and read the mind of whoever wrote the test and guess what they meant. An invaluable skill to have in the white collar workforce when guessing what your boss actually wants from you. But white collar empathy is not intelligence.
E.g. you're given a finite set of pictures and expected to guess what the next picture is from a few possibilities. The answer is that it's all of them since any finite sequence has an infinite number of generating functions. The only way to get it right is to try and read the mind of whoever wrote the test and guess what they meant. An invaluable skill to have in the white collar workforce when guessing what your boss actually wants from you. But white collar empathy is not intelligence.
From the IQ test listed here: https://www.mensa.org/public/mensa-iq-challenge literally all of them are reducible to questions about integer sequences.