Difference between revisions of "T(n+1)=T(n)+n+1"
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(Created page with "==Theorem== The following formula holds: $$T(n+1) = T(n)+n+1,$$ where $T(n)$ denotes the $n$th triangular number. ==Proof== ==References== * {{PaperR...") |
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==References== | ==References== | ||
| − | * {{PaperReference|Triangular numbers|1974|V.E. Hoggatt, Jr|author2=Marjorie Bicknell|prev=T(n)=n(n+1)/2|next= | + | * {{PaperReference|Triangular numbers|1974|V.E. Hoggatt, Jr|author2=Marjorie Bicknell|prev=T(n)=n(n+1)/2|next=n^2=T(n)+T(n-1)}} |
[[Category:Theorem]] | [[Category:Theorem]] | ||
[[Category:Unproven]] | [[Category:Unproven]] | ||
Revision as of 01:22, 30 May 2017
Theorem
The following formula holds: $$T(n+1) = T(n)+n+1,$$ where $T(n)$ denotes the $n$th triangular number.
