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用曲边梯形面积求自然数方幂数列n项和
引用本文:张桂梅.用曲边梯形面积求自然数方幂数列n项和[J].辽宁师专学报(自然科学版),2013(4):4-5,21.
作者姓名:张桂梅
作者单位:营口职业技术学院,辽宁营口115000
摘    要:给出自然数方幂数列”项和的直观背景——曲边梯形面积,通过求自然数方幂数列”项和的过程,揭示积分与数列间的内在联系.同时,推出自然数方幂数列n项和的递推公式.

关 键 词:自然数  n项和  面积

Using area of the trapzoid with curved sides to extract the sum of natural number power series n terms
ZHANG Gui-mei.Using area of the trapzoid with curved sides to extract the sum of natural number power series n terms[J].Journal of Liaoning Teachers College(Natural Science Edition),2013(4):4-5,21.
Authors:ZHANG Gui-mei
Institution:ZHANG Gui-mei (Yingkou College of Vocational Technology, Yingkou Liaoning 115000)
Abstract:By showing the object background of the sum of natural number power series n terms the area of the trapezoid with curved sides and by presenting the process of extracting the sum of natural number power series n terms, this article revealed the internal connections between in- tegral and number series. At the same time, it reasoned out the recurrence formula of the sum of nat- ural number power series n terms.
Keywords:natural number  the sum of n terms  area
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