Problem of the Week 1052
This Will Floor You
True or False: There exists an integer c such that, for all positive integers n,
Here refers to the greatest integer or floor function: the largest integer less than or equal to the quantity.
Extra credit (they get progressively harder, and the last one is in fact an open question):
Same question with
Source: Xingzhi Zhan, The Mathematical Intelligencer, Fall 2005, pp. 4-5.
© Copyright 2006 Stan Wagon. Reproduced with permission.