Practice Problemset 2
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.
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One one thing is neutral in the universe, that is $0$.
Re: Practice Problemset 2
ভাইয়া ,
problem 4 এ $r$ এর কাজ কি ? আর প্রুফ যেটা করতে বলসে সেটাও বুঝতেছি না
problem 4 এ $r$ এর কাজ কি ? আর প্রুফ যেটা করতে বলসে সেটাও বুঝতেছি না

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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 ...
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 $0$.
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 wishfullywouldn'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.
Assume $a(a+1)\cdot t(t+1)$ is interesting for some $t$. Now, try to think wishfullywouldn'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.
Re: Practice Problemset 2
$r$ এর জায়গায় $i$ হবে।Tahmid wrote:ভাইয়া ,
problem 4 এ $r$ এর কাজ কি ? আর প্রুফ যেটা করতে বলসে সেটাও বুঝতেছি না
One one thing is neutral in the universe, that is $0$.