Puzzles/Easy Sequence 10/Solution

From Wikibooks, open books for an open world
< Puzzles
Jump to navigation Jump to search

If one indexes the sequence from t, then the function for each term is trivially

Because this is the end of the easy sequences, you get something a bit more tricky - another solution:

Part of what mathematicians do is look for patterns. But be warned, just because it *looks* like it's doing something doesn't mean it's going to keep doing it forever! Showing that something does actually follow a pattern is some of what mathematicians spend their time on. But don't worry about that now, go look at some more sequences!


A bit too trivial for my liking, what about

resulting in 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2...


What about any of these?

with k >= 4

The sequence wasn´t supposed to necessarily change from 1 to 2 exactly after the ellipsis ("...").


another solution: with


f(n) = f(n-1) ! for n > 1 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1...