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WWW.BAIWAN.COM:江苏淮阴中学高中数学 第二章 第3课时 等差数列的概念和通项公式学案 苏教版必修5

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第 3 课时 等差数列的概念和通

项公式

【分层训练】

1. 1. 2005 是数列 7,13,19, 25,31, , 中的

第( )项.

A. 332 B. 333 C. 334 D. 335

2.若数列?an? 的通项公式为 an ? 2n ? 5 ,
则此数列是( )

A.公差为 2 的等差数列 B. 公差为 5 的等差数列 C.首项为 5 的等差数列 D. 公差为 n 的等差数列 3.等差数列 ?3, ?7,?11,

,的一个通项公

式为( )

A. 4n ? 7 C. 4n ?1

B. ?4n ? 7 D. ?4n ?1

4.若 ?an? 是等差数列,则 a1 ? a2 ? a3 ,

a4 ? a5 ? a6 , a7 ? a8 ? a9 ,



a3n?2 ? a3n?1 ? a3n ,是( )

A.一定不是等差数列

B. 一定是递增数列

C.一定是等差数列

D. 一定是递减数列

5.已知等差数列?an? 中,a2与a6 的等差中

项 为 5 , a3与a7 的 等 差 中 项 为 7 , 则

an ?

.

6. 如 果 等 差 数 列 ?an? 的 第 5 项 为 5 ,

第 10 项 为 ?5 ,则 此 数 列 的 第 1个 负 数

项 是 第 项.

7. 等差数列?an? 中, a3 ? 50 , a5 ? 30 ,

则 a7 ?

.

8 . 若 { an } 是 等 差 数 列 , a3,a10 是 方 程

x2-3x-5=0 的两根,则 a5+a8=

.

【拓展延伸】

9.判断数 52 ,2k ? 7(k ? N? ) 是否是等差

数列?an? : ?5, ?3, ?1,1, , 中的项,若是,
是第几项?

10. 在等差数列?an? 中,
(1)已知 a3 =31, a3 =76,求 a1 和d; (2)已知 a1 + a6 =12, a4 =7,求 a9 .
【师生互动】 学生质疑 教师释疑

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