Difference between revisions of "1984 AIME Problems/Problem 7"

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== See also ==
 
== See also ==
* [[1984 AIME Problems/Problem 6 | Previous problem]]
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{{AIME box|year=1984|num-b=6|num-a=8}}
* [[1984 AIME Problems/Problem 8 | Next problem]]
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* [[AIME Problems and Solutions]]
* [[1984 AIME Problems]]
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* [[American Invitational Mathematics Examination]]
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* [[Mathematics competition resources]]

Revision as of 13:24, 6 May 2007

Problem

The function f is defined on the set of integers and satisfies $f(n)= \begin{cases}  n-3 & \mbox{if }n\ge 1000 \\  f(f(n+5)) & \mbox{if }n<1000 \end{cases}$

Find $\displaystyle f(84)$.

Solution

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See also

1984 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
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All AIME Problems and Solutions