Problem of the Week #10:

Suppose that .  Let 

for all integers n > 0.  For how many is it true that ?

Solutions are due by noon, Friday November 20.

Note: This is the LAST problem for the quarter!

Rules:

1. This contest is open to any students who are registered at Sinclair for the Fall quarter of 2009.  It is expected that students will work alone on the problems.
2. Weekly problems will be posted on the board in the Math Help Room Monday mornings.  Solutions to a problem will appear there the following week.
3. All answers must be substantiated by hand for credit (show all work).  Programs written to solve the problem by computer or calculator will not count as sufficient justification.
4. Submit solutions to Susan Harris in room 1331.  You may slip them under her office door anytime before Friday at noon.
5. Names of all students who submit correct solutions on time will be posted by the following week.
6. A prize of $50 will be awarded to the student who correctly answers the most problems for the quarter, and a prize of $25 will be awarded to the second place winner.

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