Jump to content
Sign in to follow this  
Zekrom

IMO 2012 NO 6

Recommended Posts

Cari semua bilangan bulat positif $n$ yang mana terdapat bilangan bulat non-negatif $a_1$, $a_2$, $a_3$, ... , $a_n$ sehingga

 

$\displaystyle\sum\limits_{i=1}^n \displaystyle\frac{1}{2^{a_i}} = \displaystyle\sum\limits_{j=1}^n \displaystyle\frac{j}{3^{a_j}} = 1$

Edited by Zekrom

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Sign in to follow this  

×