Triangular Numbers in actions
Abstract
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 = 1+2+3+…+ n. So,
T1= 1
T2= 1+2=3
T3= 1+2+3=6
T4= 1+2+3+4=10
T5= 1+2+3+4+5=15
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
T9=1+2+3+4+5+6+7+8+9=45
T10 =1+2+3+4+5+6+7+8+9+10=55
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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References
Maths, T. (2014, October 09). Triangular Numbers: EYPHKA. Retrieved August 31, 2020, from https://thatsmaths.com/2014/10/09/triangular-numbers-eyphka/
Jones K, Parker S, and Lemma M: The Mathematical Magic of Perfect Numbers: GaJSci 66(3): 97-106, 2008
Hamburg C: “Triangular Numbers Are Everywhere!”: Illinois, Mathematics and Science Academy: p5, 1992.
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