Jump to content
Sign in to follow this  
donjar

Barisan tambah/kurang

Recommended Posts

Cari semua barisan $a_0, a_1, a_2, \dotsc$ di bilangan bulat positif dengan $a_0 \ge 2015$ sehingga untuk setiap $n \in \mathbb{N}$:


(i) $a_{n+2}$ habis dibagi $a_n$, dan


(ii) $|s_{n+1}-(n+1)a_n|=1$ dengan $s_{n+1}=a_{n+1}-a_n+a_{n-1}-\dotsb +(-1)^{n+1}a_0$.


 


APMO 2015 no. 5 oleh Pakawut Jiradilok dan Warut Suksompong, Thaliand


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  

×