BdMO National 2012: Higher Secondary 04

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
User avatar
Moon
Site Admin
Posts: 751
Joined: Tue Nov 02, 2010 7:52 pm
Location: Dhaka, Bangladesh
Contact:

BdMO National 2012: Higher Secondary 04

Unread post by Moon » Sat Feb 11, 2012 11:20 pm

Problem 4:
Consider the pattern অআআইইইঈঈঈঈউউউউউ... When the part with $11$ ‘ঔ’s end, the pattern continues with $12$ ‘অ’s, $13$ ‘আ’s and so on. What is the $2012^{th}$ letter in this pattern?
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin

Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.

turash
Posts: 11
Joined: Sat Dec 31, 2011 2:05 pm

Re: BdMO National 2012: Higher Secondary 04

Unread post by turash » Sat Feb 25, 2012 12:07 am

etar ans asbe 8 th borno ( amar mbl e bangla lekha jay na) . ekhane borno gulo periodic vabe ase bt proti bar tar stahn er sathe 11 add hoy. .

User avatar
nafistiham
Posts: 829
Joined: Mon Oct 17, 2011 3:56 pm
Location: 24.758613,90.400161
Contact:

Re: BdMO National 2012: Higher Secondary 04

Unread post by nafistiham » Sun Mar 04, 2012 3:33 pm

প্রথমে একবার অ থেকে ঔ পর্যন্ত যেতে ৬৬ টি বর্ণ লাগে এর পর প্রতিবারে ১১ করে যোগ হয় ।
অর্থাৎ, অনুক্রম টা এমনঃ
\[ ৬৬+৭৭+৮৮+৯৯+১১০+......\approx ২০১২ \]
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Introduction:
Nafis Tiham
CSE Dept. SUST -HSC 14'
http://www.facebook.com/nafistiham
nafistiham@gmail

Post Reply