Difference between revisions of "Sums and Perfect Sqares"

Revision as of 12:28, 14 June 2019

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

PROOF 1: $1+2+3+...+n+1+2+3...+(n-1)=n^2$ , Hence $\frac{n(n+1)}{2}+\frac{n(n+1)}{2}=n^2$ . If you dont get that go to Proof without words

Revision as of 12:26, 14 June 2019 (view source) Colball (talk \| contribs) ← Older edit		Revision as of 12:28, 14 June 2019 (view source) Colball (talk \| contribs) m Newer edit →
Line 1:		Line 1:
	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> ~~Therfore~~ <math>\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>, 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''