Difference between revisions of "1984 AIME Problems/Problem 7"
I_like_pie (talk | contribs) |
|||
Line 1: | Line 1: | ||
− | |||
== Problem == | == Problem == | ||
+ | The function f is defined on the set of integers and satisfies | ||
+ | <math> | ||
+ | f(n)= | ||
+ | \begin{cases} | ||
+ | n-3 & n\ge 1000 \\ | ||
+ | f(f(n+5)) & n<1000 | ||
+ | \end{cases} | ||
+ | </math> | ||
+ | |||
+ | Find <math>\displaystyle f(84)</math>. | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} |
Revision as of 23:55, 20 January 2007
Problem
The function f is defined on the set of integers and satisfies
Find .
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.