“裂项相消”是数列求和的方法之源

来源 :理科考试研究 | 被引量 : 0次 | 上传用户:zhengwei129
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
数列求和是数列的重要内容,也是高考考查的重点内容之一,但是,无论是教材还是各种资料,给出的数列求和的方法多种多样,如“公式法”(即等差、等比数列前n项和的公式),“分组求和法”(即通项公式形如(其中a,b,c,q均为常数)的数列求和),“裂项相消法”、“错位相减法”等一系列的方法.笔者经过探讨an=(an+b)+c·qn发现,其实这些问题均可以通过“裂项相消法”予以解决.本文对此加以解释说明,仅供参考! Summation of series is an important part of the series, but also one of the key elements of the college entrance examination examinations, however, whether it is textbooks or a variety of materials, given a variety of methods of summation of the sequence, such as “formula method” (ie The difference, the ratio of the first n items and the sum of the formula), “packet summation method ” (ie, the general form of the formula (where a, b, c, q are constant) A + b “+ c · qn found that, in fact, these problems can be solved by ”To be resolved.This article explains this, for reference purposes only!
其他文献