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.
(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 |
re: Proof by Induction
