Difference between revisions of "2004 AMC 12A Problems/Problem 6"
(equation array) |
|||
| Line 5: | Line 5: | ||
==Solution== | ==Solution== | ||
| − | <math>U-V=2004^{2005}</math> | + | <math>\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}</math> | ||
| − | + | After comparison, <math>(1)</math> is the largest. <math>\mathrm {(A)}</math> | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | After comparison, <math> | ||
==See Also== | ==See Also== | ||
{{AMC12 box|year=2004|ab=A|num-b=5|num-a=7}} | {{AMC12 box|year=2004|ab=A|num-b=5|num-a=7}} | ||
Revision as of 12:48, 5 December 2007
Problem
Let 
, 
, 
, 
, 
and 
. Which of the following is the largest?
Solution
$\begin{eqnarray} U-V&=&2004^{2005}\\ V-W&=&2004^{2004}\\ W-X&=&2001*2004^{2004}\\ X-Y&=&2004^{2004}\\ Y-Z&=&2003*2004^{2003} \end{eqnarray}$ (Error compiling LaTeX. Unknown error_msg)
After comparison, 
is the largest. 
See Also
| 2004 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 5 |
Followed by Problem 7 |
| 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 12 Problems and Solutions | |
