Practice Problemset 2

Discussion on Bangladesh National Math Camp
Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

Practice Problemset 2

Here is the second problemset for practice. Comment your ideas or solutions. If there are confusions or problems, comment here so everyone can see. There will be an exam tomorrow.
Attachments
pset_day2.pdf
One one thing is neutral in the universe, that is $0$.

Tahmid
Posts: 110
Joined: Wed Mar 20, 2013 10:50 pm

Re: Practice Problemset 2

ভাইয়া ,
problem 4 এ $r$ এর কাজ কি ? আর প্রুফ যেটা করতে বলসে সেটাও বুঝতেছি না

Showmick_Paul
Posts: 3
Joined: Tue Aug 18, 2015 10:11 am

Re: Practice Problemset 2

Plz add me in your pm..I was a camper of that grand math camp in junior...i have solved some problems and i wanna let them checked ...

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

Re: Practice Problemset 2

I have approved your post. Now you should be able to pm.
One one thing is neutral in the universe, that is $0$.

rah4927
Posts: 108
Joined: Sat Feb 07, 2015 9:47 pm

Re: Practice Problemset 2

Problem 1.6 Hints:

Assume $a(a+1)\cdot t(t+1)$ is interesting for some $t$. Now, try to think wishfully-wouldn't it be great if $(a+1)(t+1)$ and $at$ were consecutive integers? Unfortunately, this doesn't work. So, following the same logic, what else can you do?

I will admit that I spent most of the time while solving this problem concentrating on the factorization of $a^4+a^2+1$. That did not work out well for me.
Last edited by rah4927 on Thu Aug 27, 2015 4:42 pm, edited 2 times in total.

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm
problem 4 এ $r$ এর কাজ কি ? আর প্রুফ যেটা করতে বলসে সেটাও বুঝতেছি না
$r$ এর জায়গায় $i$ হবে।
One one thing is neutral in the universe, that is $0$.