(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

my english isn't very well so i'll just write the question from my handbook

show that it is possible to arrange the number 1,2,3,...,n in a row so that the average of any two of this numbers never appears between them

[HINT : show that it is suffice 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]

3. The attempt at a solution

the question is

1.is there any connection between "n is power of 2" with a method to arrange that numbers?

cause i didn't see one..tell what u think

2.what i knew this far is the mathematical induction here is to prove that the statement "the numbers can be arranged that way" is true..so i think i must find some certain way like some formula to arrange it when the total number is n or n+1

and i don't find it so far..

note: the hint is true,because every question in my handbook have a hint

give me a hint or anything that u've discovered..tq

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# Homework Help: Difficult mathematics induction proofing

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