BdMO National Higher Secondary 2010/1

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
BdMO
Posts:134
Joined:Tue Jan 18, 2011 1:31 pm
BdMO National Higher Secondary 2010/1

Unread post by BdMO » Mon Feb 07, 2011 12:06 am

Problem 1:
Let $S=1^1+2^2+3^3+ ... +2010^{2010}$ . What is the remainder when $S$ is divided by $2$?

Mehfuj Zahir
Posts:78
Joined:Thu Jan 20, 2011 10:46 am

Re: BdMO National Higher Secondary 2010/1

Unread post by Mehfuj Zahir » Tue Feb 08, 2011 12:33 am

n^n is even if n is even or odd if n is odd.Now u get the result 1

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: BdMO National Higher Secondary 2010/1

Unread post by samiul_samin » Tue Feb 26, 2019 11:19 am

Same type of Problem.

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