Recursion
Revision as of 11:59, 19 June 2006 by IntrepidMath (talk | contribs)
Recursion is defining something in terms of a previous term, function, etc. For example, the famous Fibonacci sequence is defined recusively. If we let be the nth term, the sequence is: , and so on. A recusive definition is: . That is a symbolic way to say "The next term is the sum of the two previous terms".
Examples
- A combinatorical use of recursion: AIME 2006I/11
- Use of recursion to compute an explicit formula: AIME 2006I/13
See also
- [Combinatorics]