Show that it is possible to arrange the numbers 1,2 ,…,n
Chapter 5, Problem 72E(choose chapter or problem)
Show that it is possible to arrange the numbers 1,2 ,…,n in a row so that the average of any two of these numbers never appears between them. [Hint: Show that it suffices to prove this fact when n is a power of 2. Then use mathematical induction to prove the result when n is a power of 2.]
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer