I think you understand my point (sorry for unperfect English) - sometimes tasks for finding a next number in some sequence of numbers are not useless, and such tasks help training ones brains.
OP has many flaws, and this is not really the sequence problem, and "Reverse engineering a formula" is a bad description of the problem
As a different note, our teacher said to us that the PI number contains, for example, encoded in it entire "War and Peace" by L.Tolstoy, starting from some position... you only need to find that N and enjoy the reading :)
While this is theoretically true, how can you benefit from this knowledge?
:) :)