1+2+...+n+(n-1)+...+1 = n^2/Illustration

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< 1+2+...+n+(n-1)+...+1 = n^2

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Theorem

$\forall n \in \N: 1 + 2 + \cdots + n + \paren {n - 1} + \cdots + 1 = n^2$

Illustration

Retrieved from "https://proofwiki.org/w/index.php?title=1%2B2%2B...%2Bn%2B(n-1)%2B...%2B1_%3D_n%5E2/Illustration&oldid=276880"

1+2+...+n+(n-1)+...+1 = n^2