Jump to content
Sign in to follow this  
Zekrom

IMO 2013 NO 1

Recommended Posts

Buktikan bahwa untuk sebarang pasangan bilangan bulat $k$ dan $n$, terdapat $k$ bilangan bulat positif $m_1$, $m_2$, ... , $m_k$ (tidak harus berbeda) sehingga 

 

$1+\displaystyle \frac{2^k-1}{n} = \displaystyle\prod\limits_{i=1}^k \left( 1 + \frac{1}{m_i} \right)$

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  

×