April 7th, 2014, 09:29 AM  #21 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs 
I actually showed you that method. 
April 8th, 2014, 02:39 AM  #22 
Newbie Joined: Apr 2014 From: Earth Posts: 14 Thanks: 0 
I remember you didn't show me the method I was looking for because none of your methods have $\displaystyle 5×11=55$ 
April 8th, 2014, 03:01 AM  #23  
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Quote:
Quote:
 
April 8th, 2014, 03:58 AM  #24  
Newbie Joined: Apr 2014 From: Earth Posts: 14 Thanks: 0 
Hello MarkFL, Oh, although your method mentioned $\displaystyle 5×11=55$ but you were not specific. You only show me long addiction but did not explain clearly like me and also did not explain how did you get $\displaystyle 5$. In addiction, you did not say $\displaystyle 5×11=55$, you said 5(11)=55 Mai Quote:
 
April 8th, 2014, 04:06 AM  #25  
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Quote:
 
April 8th, 2014, 12:03 PM  #26 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  
April 8th, 2014, 12:14 PM  #27 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs 
I have two other methods for deriving the summation formula for arithmetic progressions involving linear difference equations, but something tells me "these aren't the 'droids you're looking for." 
April 10th, 2014, 03:17 AM  #28  
Newbie Joined: Apr 2014 From: Earth Posts: 14 Thanks: 0 
Hello, I was too busy wasn't have time to respond. Quote:
Quote:
Yes, I am from earth, a living thing on earth. Quote:
Like $\displaystyle 7=2×41$, there are many possibilities like $\displaystyle 7=2×3+1$. And not all numbers that method can work, you said need to do formula method. Mai  
April 10th, 2014, 05:38 AM  #29 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  I don't know. I discovered that formula in 2nd grade (~8 years old) and only learned about the one you mentioned many years later. Of course I didn't express it as elegantly as Mark, but what do you expect? 
April 10th, 2014, 05:58 AM  #30 
Newbie Joined: Apr 2014 From: Earth Posts: 14 Thanks: 0  You learnt formula at $\displaystyle 8$ years old? Unbelievable! (Y) Your Maths should be very good. 

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