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Revision as of 13:28, 7 November 2024
Welcome to the AoPS Wiki!
The AoPS Wiki project is administered by the Art of Problem Solving for supporting educational content useful to avid math students.
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 
is 
and for 
it is simply 
. Find the sum of all such alternating sums for 
.
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