The Triangular Numbers in Actions
The triangular numbers are formed by the partial sum of the series 1+2+3+4+5+6+7….+n . In other words, triangular numbers are those counting numbers that can be written as Tn = 1+2+3+…+ n. So,
T6= 1+2+3+4+5+6= 21
T7= 1+2+3+4+5+6+7= 28
T8= 1+2+3+4+5+6+7+8= 36
In this paper, we investigate some important properties of triangular numbers. Some important results dealing with the mathematical concept of triangular numbers will be proved. We try our best to give short and readable proofs. Most of the results are supplemented with examples.
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