Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

User:Aops-g5-gethsemanea2/AoPS Wiki




Social Media by CreativeHedgehog avatar.jpg




Social Media by CreativeHedgehog avatar.jpg
Welcome to Aops-g5-gethsemanea2's Wiki!

Aops-g5-gethsemanea2's Wiki project is administered by the user Aops-g5-gethsemanea2 for supporting educational content useful to avid math students.

Pages

Mathematics

Miscellaneous

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 $n=7$.

New to Aops-g5-gethsemanea2's Wiki?

If you are new to this wiki, welcome! Go to the main User Page and add 1 to the user count.

If you don't know much about how to edit a wiki, you might want to read the tutorial and the help files.

Aops-g5-gethsemanea2's Wiki runs on the MediaWiki software.

Statistics

It is Monday June 3, 2024, 16:24 (GMT).
There have been 221,805 edits to 10,044 articles since January, 2006.

3,036 files have been uploaded. There are 230,580 users registered.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=User:Aops-g5-gethsemanea2/AoPS_Wiki&oldid=131290"