Difference between revisions of "Sums and Perfect Sqares"
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Here are many proofs for the Theory that <math>1+2+3+...+n+1+2+3...+(n-1)=n^2</math> | Here are many proofs for the Theory that <math>1+2+3+...+n+1+2+3...+(n-1)=n^2</math> | ||
| − | PROOF 1: <math>1+2+3+...+n+1+2+3...+(n-1)=n^2</math>, Hence <math>\frac{n(n+1)}{2}+\frac{n(n+1)}{2}=n^2</math>. If you dont get that go to ''Proof without words'' | + | PROOF 1: <math>1+2+3+...+n+1+2+3...+(n-1)=n^2</math>, Hence <math>\frac{n(n+1)}{2}+\frac{n(n+1)}{2}=n^2</math>. If you dont get that go to ''Proof without words''. If you conbine the fractions you get \frac{n(n+1)+n(n-1)}{2} |
Revision as of 12:30, 14 June 2019
Here are many proofs for the Theory that 
PROOF 1: , Hence 
. If you dont get that go to Proof without words. If you conbine the fractions you get \frac{n(n+1)+n(n-1)}{2}
