2002 Pan African MO Problems/Problem 6
Revision as of 00:45, 7 January 2020 by Rockmanex3 (talk | contribs) (Solution to Problem 6 -- tough inequality problem with a simple solution)
Problem
If and
, then prove:
Solution
Note that . Additionally, if
, then
and
.
For a given value , there are
terms in the form
. Thus,
See Also
2002 Pan African MO (Problems) | ||
Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Last Problem |
All Pan African MO Problems and Solutions |