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| Another Square Sequence (Posted on 2003-12-23) |
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If you subtract the sum of the first x numbers, squared, from the sum of the next x numbers, squared, (for example, 6² + 5² + 4² - 3² - 2² - 1²); you will get (x²)(2x+1) and also x²(x+1)² minus x^4. Prove why this works.
solution
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 | Comment 4 of 6 | 
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its because
x^2(2x+1)=x^2(x+1)^2-x^4
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Posted by sumit
on 2004-06-14 08:20:05 |
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