Difference between revisions of "T(n)=n(n+1)/2"
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(Created page with "==Theorem== The following formula holds for all $n=1,2,3,\ldots$: $$T(n)=\dfrac{n(n+1)}{2},$$ where $T$ denotes triangular numbers. ==Proof== ==References== * {{PaperRef...") |
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The following formula holds for all $n=1,2,3,\ldots$: | The following formula holds for all $n=1,2,3,\ldots$: | ||
$$T(n)=\dfrac{n(n+1)}{2},$$ | $$T(n)=\dfrac{n(n+1)}{2},$$ | ||
| − | where $T$ denotes [[triangular numbers]]. | + | where $T(n)$ denotes the $n$th [[triangular numbers|triangular number]]. |
==Proof== | ==Proof== | ||
Revision as of 01:21, 30 May 2017
Theorem
The following formula holds for all $n=1,2,3,\ldots$: $$T(n)=\dfrac{n(n+1)}{2},$$ where $T(n)$ denotes the $n$th triangular number.
