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what is the sum of every odd number from 1-100?

Guest Apr 24, 2017
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 #1
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Notice something

 

1  = 1         one odd

! + 3  = 4    two odds

1 + 3 + 5  = 9     three odds

1 + 3 + 5 + 7   =  16     four odds

 

So...it appears that the sum of any number, n, of  consecutive odd numbers beginning with 1 = n^2 

 

And there are 50 odd numbers from 1 - 100.......so the sum  is

 

(50)^2   = 2500

 

 

cool cool cool

CPhill  Apr 24, 2017
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cool

Guest Apr 24, 2017

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