Difference between revisions of "T(n+1)=T(n)+n+1"
From specialfunctionswiki
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==Theorem== | ==Theorem== | ||
| − | The following formula holds: | + | The following formula holds for $n=1,2,3,\ldots$: |
$$T(n+1) = T(n)+n+1,$$ | $$T(n+1) = T(n)+n+1,$$ | ||
where $T(n)$ denotes the $n$th [[triangular numbers|triangular number]]. | where $T(n)$ denotes the $n$th [[triangular numbers|triangular number]]. | ||
Revision as of 01:23, 30 May 2017
Theorem
The following formula holds for $n=1,2,3,\ldots$: $$T(n+1) = T(n)+n+1,$$ where $T(n)$ denotes the $n$th triangular number.
