Difference between revisions of "1984 AIME Problems/Problem 7"
| Line 4: | Line 4: | ||
f(n)= | f(n)= | ||
\begin{cases} | \begin{cases} | ||
| − | n-3 & n\ge 1000 \\ | + | n-3 & \mbox{if }n\ge 1000 \\ |
| − | f(f(n+5)) & n<1000 | + | f(f(n+5)) & \mbox{if }n<1000 |
\end{cases} | \end{cases} | ||
</math> | </math> | ||
Find <math>\displaystyle f(84)</math>. | Find <math>\displaystyle f(84)</math>. | ||
| + | |||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 00:04, 21 January 2007
Problem
The function f is defined on the set of integers and satisfies
Find 
.
Solution
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