摘要
从几何观点出发,利用二项式定理推导出自然数等幂和的一个新的通项递归公式,比已有的组合逼近式、递推式更简洁有效.
From the point of geometry, a new recursive formula of the sum of natural number's power was derived by using the binomial theorem, it was simple in structure,and was more efficient than other combinatorial approach and recursive formulas that had been obtained.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第7期293-296,共4页
Mathematics in Practice and Theory
关键词
自然数等幂和
二项式定理
递归公式
sum of natural number's power
binomial theorem
recursive formula