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Practice Problemset 2

Posted: Wed Aug 26, 2015 7:35 pm
by Masum
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.

Re: Practice Problemset 2

Posted: Wed Aug 26, 2015 9:35 pm
by Tahmid
ভাইয়া ,
problem 4 এ $r$ এর কাজ কি ? আর প্রুফ যেটা করতে বলসে সেটাও বুঝতেছি না :?

Re: Practice Problemset 2

Posted: Wed Aug 26, 2015 11:47 pm
by Showmick_Paul
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 ...

Re: Practice Problemset 2

Posted: Wed Aug 26, 2015 11:50 pm
by Masum
I have approved your post. Now you should be able to pm.

Re: Practice Problemset 2

Posted: Wed Aug 26, 2015 11:58 pm
by rah4927
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.

Re: Practice Problemset 2

Posted: Thu Aug 27, 2015 12:04 am
by Masum
Tahmid wrote:ভাইয়া ,
problem 4 এ $r$ এর কাজ কি ? আর প্রুফ যেটা করতে বলসে সেটাও বুঝতেছি না :?
$r$ এর জায়গায় $i$ হবে।