Difference between revisions of "Sums and Perfect Sqares"

Revision as of 13:25, 14 June 2019

Here are many proofs for the Theory that $1+2+3+...+n+1+2+3...+(n-1)=n^2$

PROOF 1: $1+2+3+...+n+1+2+3...+(n-1)=n^2$ Therefore $\frac{n(n+1)}{2}+\frac{n(n+1)}{2}=n^2$

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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 /~~Rightarrow~~ \frac{n(n+1)}{2}+\frac{n(n+1)}{2}=n^2</math>	+	PROOF 1: <math>1+2+3+...+n+1+2+3...+(n-1)=n^2</math> Therefore <math>\frac{n(n+1)}{2}+\frac{n(n+1)}{2}=n^2</math>