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Another Square Sequence (Posted on 2003-12-23) Difficulty: 4 of 5
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.

See The Solution Submitted by Gamer    
Rating: 2.3333 (3 votes)

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re: Proof by Induction | Comment 5 of 6 |
(In reply to Proof by Induction by Larry Settle)

theres an easy way out.

(x^2)(2x+1)=(x^2){(x+1)^2}-x^4
satisfies for all integer.As it is an identity.

  Posted by sumit on 2004-06-14 08:23:15

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