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数列求和问题是数列的基本内容之一,也是高考的热点和重点.数列求和形式多样,技巧性强,是数列学习的一个难点.常用的求和方法有公式法、分项求和、裂项相消、错位相减、倒序相加等,但是仅用上述方法求解有时会显得很笨拙和乏力,为此有必要给同学们介绍一种新的求和方法——并项法.1.并项法概念的提出引例等比数列{an}中,a1,a2,a3分别是下表第一、二、三行中的某一个数,且a1,a2,a3中的任何两个数不在下表的同一列.
The problem of summation of series is one of the basic contents of sequence and also a hot spot and focus of college entrance examination.A series of summation forms is diverse and skillful, which is a difficult point for sequence learning.Its common methods of summation are formula method, partial summation, The division of dislocation, the dislocation subtraction, the addition of reverse order, etc., but only the above method can sometimes appear to be very clumsy and weakness, it is necessary for students to introduce a new method of summation - the term method .1 The concept of the term method proposed in the reference series {an}, a1, a2, a3 are the first table, the second table, the third row of a number, and any two of a1, a2, a3 Not in the same column in the table below.