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==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==
* {{PaperReference|Triangular numbers|1974|V.E. Hoggatt, Jr|author2=Marjorie Bicknell|prev=Triangular numbers|next=T(n+1)=T(n)+n+1}}

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