A NOTE ON SOME AMAZING MATHEMATICAL PROPERTIES OF TRIANGULAR NUMBERS

被引：0
|
作者：
Chaplin, Christen [1 ]
Lemma, Mulatu [1 ]
机构：
[1] Savanah State Univ, Noyce Program, Savannah, GA 31404 USA
来源：
ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES | 2016年 / 15卷 / 05期
关键词：
triangular numbers; perfect square; Pascal triangles; perfect numbers;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The triangular numbers are formed by partial sum of the series 1+2+3 +4 + 5 + 6 + 7 + +n [2]. In other words, triangular numbers are those counting numbers that can be written as T-n =1+2+3+...+n. So, T-1 = 1 T-2 =1+2=3 T-3 =1+2+3=6 T-4 =1+2+3+4=10 T-5=1+2+3+4+5=15 T-6 =1+2+3+4+5+6 = 21 T-7=1+2+3+4+5+6+7 = 28 T-8 =1+2+3+4+5+6+7+8 = 36 T-9 =1+2+3+4+5+6+7+8+9 = 45 T-10 =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.
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页码：149 / 160
页数：12
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