Difference between revisions of "User:Piphi/AoPS Wiki"

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__NOTOC__  __NOEDITSECTION__ <div class="frontlink" style="background-color:#1b365d; color:#ffffff; font-size: 110%; padding-left:15px; padding-right:15px; padding-bottom:10px;-webkit-border-radius: 10px;"> <span style="font-size: 200%">'''Welcome to Piphi's Wiki!'''</span>
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__NOTOC__ __NEWSECTIONLINK__ __NOEDITSECTION__ <div class="frontlink" style="background-color:#1b365d; color:#ffffff; font-size: 110%; padding-left:15px; padding-right:15px; padding-bottom:10px;-webkit-border-radius: 10px;"> <span style="font-size: 200%">'''Welcome to Piphi's Wiki!'''</span>
 
   
 
   
 
The Piphi Wiki project is administered by the [[User:Piphi|<span style="color:#83a1d6;">legendary piphi</span>]] for supporting educational content useful to avid math students.  
 
The Piphi Wiki project is administered by the [[User:Piphi|<span style="color:#83a1d6;">legendary piphi</span>]] for supporting educational content useful to avid math students.  

Revision as of 19:22, 12 June 2020

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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