BDMO National Junior 2018/2

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
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nahin munkar
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BDMO National Junior 2018/2

Unread post by nahin munkar » Tue Jan 08, 2019 1:00 pm

If the average of first $n$ positive integers is $2018$, then find the value of n ?
# Mathematicians stand on each other's shoulders. ~ Carl Friedrich Gauss

samiul_samin
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Re: BDMO National Junior 2018/2

Unread post by samiul_samin » Thu Jan 10, 2019 12:54 am

Sum of first n positive integers is $n×(n+1)/2$
So the average of first n positive integers is $(n+1)/2$
If $(n+1)/2=2018 $ then $n=4035$

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