Find the next number in the following sequence. It is not purely mathematical but needs only an introduction to mathematics, as generally taught, to answer it and is not very convoluted.
5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, ?
Not needed for an answer:
This sequence surely diverges to infinity, and although the values of higher terms than above depend on how the 'function' is exactly defined including personal style, I would be interested if something could be said on how the values of the sequence behave as n becomes large.