Difference between revisions of "2022 USAJMO Problems"
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| style="background:#ccf;text-align:center;" colspan="3" | '''[[2021 USAJMO]]''' ('''[[2021 USAJMO Problems|Problems]]''' • [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176&year={{{year}}} Resources]) | | style="background:#ccf;text-align:center;" colspan="3" | '''[[2021 USAJMO]]''' ('''[[2021 USAJMO Problems|Problems]]''' • [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176&year={{{year}}} Resources]) | ||
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− | | colspan="3" style="text-align:center;" | [[2021 USAJMO Problems/Problem 1|1]] '''•''' [[2021 USAJMO Problems/Problem 2|2]] '''•''' [[ | + | | colspan="3" style="text-align:center;" | [[2021 USAJMO Problems/Problem 1|1]] '''•''' [[2021 USAJMO Problems/Problem 2|2]] '''•''' [[2022 USAJMO Problems/Problem 3|3]] '''•''' [[2022 USAJMO Problems/Problem 4|4]] '''•''' [[2022 USAJMO Problems/Problem 5|5]] '''•''' [[2021 USAJMO Problems/Problem 2|6]] |
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| colspan="3" style="text-align:center;" | '''[[USAJMO Problems and Solutions | All USAJMO Problems and Solutions]]''' | | colspan="3" style="text-align:center;" | '''[[USAJMO Problems and Solutions | All USAJMO Problems and Solutions]]''' |
Revision as of 20:06, 19 April 2022
Contents
[hide]Day 1
For any geometry problem whose statement begins with an asterisk , the first page of the solution must be a large, in-scale, clearly labeled diagram. Failure to meet this requirement will result in an automatic 1-point deduction.
Problem 1
Solution For which positive integers does there exist an infinite arithmetic sequence of integers and an infinite geometric sequence of integers satisfying the following properties?
[-] is divisible by for all integers ;
[-] is not divisible by .
Problem 2
Problem 3
Day 2
Problem 4
Problem 5
Problem 6
2021 USAJMO (Problems • Resources) | ||
Preceded by 2021 USAJMO |
Followed by 2023 USAJMO | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAJMO Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.