+0  
 
+1
328
2
avatar

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

 Apr 24, 2017
 #1
avatar+95884 
+1

 

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

 Apr 24, 2017
 #2
avatar
0

cool

Guest Apr 24, 2017

12 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.