新定义型数列

• 作 者: 黄加卫
• 机 构: 浙江省湖州市第一中学 313000
• 出 处: 高中数学教与学
• 发表日期: 2006年02期
• 关键词: 通项公式 已知函数 首项 数学归纳法 列公 非负整数 非零常数 正整数 计算公式 不大于

近年在高考或各地高考模拟试卷中出现的一些新定义型数列,笔者认为,这是考察学生迁移和探究能力的素材.本文将介绍其中几种新定义型数列的定义、通项公式或前n项和、性质及初步应用,以供参考.一、等和数列1.定义在数列{an}中,若对任意n≥2都有an+an-1=d(n=N*,d为常数),则称{an}

In recent years, some newly-defined series appearing in the college entrance examination or local college entrance examination simulation test papers, the author believes that this is the material to examine students’ migration and exploration capabilities. This article will introduce the definition of several new defined series, the general formula or the former n The terms, properties, and preliminary application are for reference. I. Equivalence and Numbers 1. Definitions In the series {an}, if there is any n≥2, there is an+an-1=d (n=N*, d is Constant), then {an}