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The AoPS Wiki project is administered by the [[Art_of_Problem_Solving|<span style="color:#83a1d6;">Art of Problem Solving</span>]] for supporting educational content useful to avid math students.  
 
The AoPS Wiki project is administered by the [[Art_of_Problem_Solving|<span style="color:#83a1d6;">Art of Problem Solving</span>]] for supporting educational content useful to avid math students.  
 
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During AIME testing, the AoPS Wiki is in read-only mode. No edits can be made.  
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During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.  
 
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Revision as of 12:21, 8 November 2021

During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.

Problem of the Week

1983 AIME, Problem 13

For $\{1, 2, 3, \ldots, n\}$ and each of its non-empty subsets a unique alternating sum is defined as follows. Arrange the numbers in the subset in decreasing order and then, beginning with the largest, alternately add and subtract successive numbers. For example, the alternating sum for $\{1, 2, 3, 6,9\}$ is $9-6+3-2+1=5$ and for $\{5\}$ it is simply $5$. Find the sum of all such alternating sums for $n=7$.

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