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### Practice Problemset 2

Posted: Wed Aug 26, 2015 7:35 pm
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
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
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
I have approved your post. Now you should be able to pm.

### Re: Practice Problemset 2

Posted: Wed Aug 26, 2015 11:58 pm
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
Tahmid wrote:ভাইয়া ,
problem 4 এ $r$ এর কাজ কি ? আর প্রুফ যেটা করতে বলসে সেটাও বুঝতেছি না $r$ এর জায়গায় $i$ হবে।