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A proof of the identity $$1+2+\cdots + (n-1) = \binom{n}{2}$$

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(Adapted from an entry I saw at Wolfram DemostrationsDemonstrations)

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A proof of the identity $$1+2+\cdots + (n-1) = \binom{n}{2}$$

alt text

(Adapted from an entry I saw at Wolfram Demostrations)