Difference between revisions of "2011 UNCO Math Contest II Problems/Problem 10"
(Created page with "== Problem == The integers <math>1, 2, 3,\cdots , 50</math> are written on the blackboard. Select any two, call them <math>m</math> and <math>n</math> and replace these two with...") |
(No difference)
|
Revision as of 21:46, 19 October 2014
Problem
The integers are written on the blackboard. Select any two, call them and and replace these two with the one number . Continue doing this until only one number remains and explain, with proof, what happens. Also explain with proof what happens in general as you replace with . As an example, if you select and you replace them with . If you select and , replace them with . You now have two ’s in this case but that’s OK.
Solution
See Also
2011 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Problem 11 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |