Difference between revisions of "N^2=T(n)+T(n-1)"

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(Created page with "==Theorem== The following formula holds for $n=1,2,3,\ldots$: $$n^2=T(n)+T(n-1),$$ where $T(n)$ denotes the $n$th triangular number. ==Proof== ==Refer...")
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Revision as of 01:23, 30 May 2017

Theorem

The following formula holds for $n=1,2,3,\ldots$: $$n^2=T(n)+T(n-1),$$ where $T(n)$ denotes the $n$th triangular number.

Proof

References