So I ask you, from the data alone: what's the next term?
If one had the Encyclopedia of Integer Sequences handy, those SAT questions could be interesting. But they'd still be nonsense.
On Fri, 01 Jan 2010 04:32:58 -0600, Noqsi <firstname.lastname@example.org> wrote:
> On Dec 31, 1:16 am, DrMajorBob <btre...@austin.rr.com> wrote: > >> This is a little like those idiotic SAT and GRE questions that ask >> "What's >> the next number in the following series?"... where any number will do. >> Test writers don't seem to know there's an interpolating polynomial (for >> instance) to fit the given series with ANY next element. > > Explanations in terms of epicycles may be mathematically adequate in a > narrow sense, but an explanation in terms of a single principle > applied repeatedly is to be preferred in science. The ability to > recognize such a principle is important. > > And my mathematical logician son (who's looking over my shoulder) > directed me to http://www.research.att.com/~njas/sequences/ for > research on this topic. When he encounters such a sequence in his > research, he finds that knowledge of a simple genesis for the sequence > can lead to further insight. >