2022年数列求和数列的综合应用练习题 .pdf
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1、数列求和、数列的综合应用练习题1.数列20,2,2101akaak共十项,且其和为 240,则101aaak的值为()A.31 B.120 C.130 D.185 2.已知正数等差数列na的前 20 项的和为 100,那么147aa的最大值是()A.25 B.50 C.100 D.不存在3.设函数xxfmlog)((0m,且1m),数列na的公比是 m的等比数列,若8)(200931aaaf,则)()()(220102221afafaf的值等于()A.-1974 B.-1990 C.2022 D.2042 4.设等差数列na的公差0d,又921,aaa成等比数列,则1042931aaaaaa
2、.5.已知二次函数xxxf23)(2,数列na的前 n项和为ns,点(nsn,)(*n)在函数)(xfy的图像上.(1)球数列na的通项公式;(2)设13nnnaab,nT 是数列nb的前 n 项和,求使20mTn对所有*n都成立的最小正整数 m.6.(2014广东湛江模拟)已知数列na各项均为正,其前 n项和为ns,且满足2)1(4nnaS.(1)求na的通项公式;(2)设11nnnaab,求数列nb的前 n 项和nT 及nT 的最小值.7.(2014 安徽,18,12 分)数列na满足)1()1(,111nnannaann,*n.(1)证明:数列nan是等差数列;(2)设nnnab3,求数
3、列nb的前 n 项和为ns.8.(2014 湖北,19,12 分)已知等差数列na满足:21a,且521,aaa成等比数列.(1)求数列na的通项公式;(2)记nS 为数列na的前 n项和,是否存在正整数n,使得80060nSn?若文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1
4、F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P
5、4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:
6、CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 H
7、D1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA
8、4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编
9、码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4存在,求 n的最小值;若不存在,
10、说明理由.9.(2014 湖南师大附中第二次月考,19)甲、乙两超市同时开业,第一年的年销售额都为 a万元.由于经营方式不同,甲超市前n(*n)年的总销售额为)2(22nna万元;从第二年起,乙超市第n 年的销售额比前一年的销售额多an 132万元.(1)设甲、乙两超市第 n 年的销售额分别是nnba,,求nnba,的表达式;(2)若在同一年中,某一超市的年销售额不足另一个超市的年销售额的50%,则该超市将于当年年底被另一家超市收购.问:在今后若干年内,乙超市能否被甲超市收购?若能,请推算出在哪一年年底被收购;若不能,请说明理由.10.从社会效益和经济效益出发,某地投入资金进行生态环境建设,并
11、以此发展旅游产业,根据规划,本年度投入800 万元,以后每年投入比上年减少51,本年度当地旅游业收入估计为400 万元,由于该项建设对旅游业的促进作用,预计今后的旅游业收入每年会比上年增加41.(1)设 n年内(本年度为第一年)总投入为na 万元,旅游业总收入为nb 万元,文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F
12、4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2
13、D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z
14、5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T1
15、0F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5
16、C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R
17、8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3
18、T10F4写出na,nb 的表达式;(2)至少经过几年,旅游业的总收入才能超过总投入?11.(2014 四川,19,12 分)设等差数列na的公差为d,点),(nnba在函数xxf2)(的图像上(*n).(1)证明:数列nb为等比数列;(2)若11a,函数)(xf的图像在点),(22ba处的切线在 x轴上的截距为2ln12,求数列2nnba的前 n项和nS.文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T1
19、0F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5
20、C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R
21、8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3
22、T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4
23、K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F
24、7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4
25、I3T10F4文档编码:CF4K5C2D9Q5 HD1F7R8Z5V9 ZA4P4I3T10F412.(2014 江西上饶六校第二次联考,18)已知等差数列na的前 n 项和为nS,且15,252Sa,数列nb满足211b,nnbnnb211.(1)求数列,nnba的通项公式;(2)记nT 为数列nb的前 n项和,2)2(2)(nTSnfnn,试问)(nf否存在最大值,若存在,求出最大值,若不存在请说明理由13.(2012 四川,12,5 分)设函数3()(3)1f xxx,数列 na是公差不为 0的等差数列,127()()()14f af af a,则127aaa()A.0 B.7 C.14
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