2011 UNCO Math Contest II Problems/Problem 10
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 | ||
