April 11th, 2018, 11:07 AM  #11  
Math Team Joined: Dec 2013 From: Colombia Posts: 7,331 Thanks: 2457 Math Focus: Mainly analysis and algebra  Quote:
1 &= 1 &= 1^2 \\ 1 + 3 &= 4 &= 2^2 \\ 1+3+5 &= 9 &= 3^2 \\ & \vdots & \vdots \end{alignat*} So the sum of which odd numbers is represented by $51^2$? Why are you not capable of thinking about what you are doing? I guess you just prefer complaining. Last edited by skipjack; April 11th, 2018 at 11:37 AM.  
April 11th, 2018, 11:07 AM  #12 
Senior Member Joined: Jun 2015 From: England Posts: 835 Thanks: 247  
April 11th, 2018, 12:05 PM  #13  
Senior Member Joined: May 2016 From: USA Posts: 1,052 Thanks: 431  Quote:
Hint: odd numbers can be represented by 2k  1 where k is an integer.  
April 11th, 2018, 06:53 PM  #14 
Senior Member Joined: Aug 2014 From: India Posts: 294 Thanks: 1  

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average, natural, numbers, odd, upto 
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