2018 BDMO NT exam P4
 Ananya Promi
 Posts: 36
 Joined: Sun Jan 10, 2016 4:07 pm
 Location: Naogaon, Bangladesh
2018 BDMO NT exam P4
Let $n$ be an even positive integer. A sequence of $n$ real numbers is called complete if for every integer $m$ with $$1 \leq m \leq n$$ either the sum of the first $m$ terms or the sum of the last $m$ terms is integral. Determine the minimum number of the integers in a complete sequence of $n$ numbers.
 Atonu Roy Chowdhury
 Posts: 64
 Joined: Fri Aug 05, 2016 7:57 pm
 Location: Chittagong, Bangladesh

 Posts: 1007
 Joined: Sat Dec 09, 2017 1:32 pm
Re: 2018 BDMO NT exam P4
Is this problem taken from National Math Camp question?Ananya Promi wrote: ↑Thu Apr 12, 2018 3:43 pmLet $n$ be an even positive integer. A sequence of $n$ real numbers is called complete if for every integer $m$ with $$1 \leq m \leq n$$ either the sum of the first $m$ terms or the sum of the last $m$ terms is integral. Determine the minimum number of the integers in a complete sequence of $n$ numbers.