Difference between revisions of "2002 AMC 10P Problems/Problem 9"

Revision as of 17:42, 14 July 2024

The function $f$ is given by the table

$\begin{tabular}{|c||c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 \\ \hline f(x) & 4 & 1 & 3 & 5 & 2 \\ \hline \end{tabular}$

If $u_0=4$ and $u_{n+1} = f(u_n)$ for $n \ge 0$ , find $u_{2002}$

$\text{(A) }1 \qquad \text{(B) }2 \qquad \text{(C) }3 \qquad \text{(D) }4 \qquad \text{(E) }5$

2002 AMC 10P (Problems • Answer Key • Resources)
Preceded by Problem 8	Followed by Problem 10
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AMC 10 Problems and Solutions

@@ Line 1: / Line 1: @@
+== Problem 9 ==
+The function <math>f</math> is given by the table
+<cmath>
+\begin{tabular}{|c||c|c|c|c|c|}
+ \hline
+ x & 1 & 2 & 3 & 4 & 5 \\
+ \hline
+ f(x) & 4 & 1 & 3 & 5 & 2 \\
+ \hline
+\end{tabular}
+</cmath>
+If <math>u_0=4</math> and <math>u_{n+1} = f(u_n)</math> for <math>n \ge 0</math>, find <math>u_{2002}</math>
+<math>
+\text{(A) }1
+\qquad
+\text{(B) }2
+\qquad
+\text{(C) }3
+\qquad
+\text{(D) }4
+\qquad
+\text{(E) }5
+</math>
 == Solution 1==