The function f(x) satisfies the equation f(x)=f(x−1)+f(x+1) for all values of x. If f(1)=1 and f(2)=3, what is the value of f(2008)?
Want a route through all this instead of an archive? The track
puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.
Source: CEMC, University of Waterloo,
licensed CC-BY-NC-4.0.
Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.