Difference between revisions of "2004 AMC 12A Problems/Problem 6"
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==Solution 2== | ==Solution 2== | ||
− | A quick check reveals the positive integers are in decreasing order. Then note <math>V = | + | A quick check reveals the positive integers are in decreasing order. Then note <math>V = 2004^{2005}</math>. <math>\newline</math> |
<math>U - V = 2004^{2005} = V</math>, and any of the other differences cannot be greater than or equal to <math>V</math>, hence choose <math>\boxed{A}</math> as the answer. | <math>U - V = 2004^{2005} = V</math>, and any of the other differences cannot be greater than or equal to <math>V</math>, hence choose <math>\boxed{A}</math> as the answer. | ||
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==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}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Latest revision as of 02:10, 30 December 2020
Contents
Problem
Let , , , , and . Which of the following is the largest?
Solution
After comparison, is the largest.
Solution 2
A quick check reveals the positive integers are in decreasing order. Then note . , and any of the other differences cannot be greater than or equal to , hence choose as the answer.
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 |
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