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

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

Find $\displaystyle f(84)$.

Solution

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See also