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well, ace of 1 (or the first number in the equation) =1, d=1 (or what it's added by each time), which shows that it's arithmetic), and n=1000 (the number you're trying to get)
the equation is s of n=n/2 (ace of 1 + ace of n) s of n is the sum of the numbers
so, s of n=500(1+1000)
s of n=500500
so 500,500 is the sum of the numbers from 1 to 1000.

you can find more at

http://www.YouTube.com/watch?v=VgVJrSJxkDk&feature=youtube_gdata
http://www.youtube.com/watch?v=U_8GRLJplZg&feature=youtube_gdata

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Q: What is the sum of all the numbers from 1 to 1000?
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The sum of all numbers between 1 and n = n*(n+1)/2 The sum of all numbers between 1 and 999 = 999*1000/2 = 499500 The sum of all numbers between 1 and 9999 = 9999*10000/2 = 49995000 So, the sum of all numbers between 1000 and 9999 = 49495500


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