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2004 AMC 12A Problems/Problem 6

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Problem

Let , , , , and . Which of the following is the largest?

\mathrm {(A)} U-V \qquad \mathrm {(B)} V-W \qquad \mathrm {(C)} W-X \qquad \mathrm {(D)} X-Y \qquad \mathrm {(E)} Y-Z \qquad

Solution

\begin{eqnarray*}U-V&=&2004^{2005}\\V-W&=&2004^{2004}\\W-X&=&2001*2004^{2004}\\X-Y&=&2004^{2004}\\Y-Z&=&2003*2004^{2003}\end{eqnarray*}

After comparison, is the largest.

See Also

2004 AMC 12A (Problems)
Preceded by
Problem 5
Followed by
Problem 7
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