等差数列{an},{bn}的前n项和分别为Sn,Tn,且an/bn=2n+1/3n+1,则S11/T11=,S2n-1/T2n-1=
等差数列{an},{bn}的前n项和分别为Sn,Tn,且Sn/Tn=3n+1/2n+3,则a5/b5=,an/bn=
人气:465 ℃ 时间:2020-03-26 22:08:05
解答
设an=m(2n+1),bn=m(3n+1)
Sn=[3m+m(2n+1)]n/2=m(n+2)n
Tn=[4m+m(3n+1)]n/2=m(3n+5)n/2
s11/t11=m(11+2)*11/[m(3*11+5)*11/2]=13/19
s2n-1/t2n-1=m(2n-1+2)(2n-1)/[m(6n-3+5)(2n-1)/2]=(2n+1)/(3n+1)
Sn/Tn=[(a1+an)n/2]/[(b1+bn)n/2]=3n+1/2n+3
可设Sn=m(3n+1)n/2,Tn=m(2n+3)n/2
a1=S1=2m,S2=7m,a2=S2-a1=5m,d1=3m
b1=T1=5m/2,T2=7m,b2=T2-b1=7m-5m/2=9m/2,d2=2m
a5/b5=(2m+3m*4)/(5m/2+2m*4)=4/3
an/bn=[2m+3m*(n-1)]/[5m/2+2m*(n-1)]=(6n-2)/(4n+1)
通过巧设系数m来使运算准确,虽然复杂点,而且易于理解
推荐
- 等差数列{An},{Bn}的前n项和为Sn与Tn,若Sn/Tn=2n/3n+1,则An/Bn的值是?
- {an},{bn}均为等差数列,前n项和分别为Sn,Tn且anbn=3n+74n+1,则S11T11=( ) A.2221 B.1 C.89 D.1417
- 已知等差数列{an},{bn}满足an/bn=2n/(3n+5),它们的前几项之和分别记为Sn和Tn,求S11/T11的值(要过程)
- 等差数列{an}{bn}的前n项和分别为Sn、Tn,且an:bn=2n-1:3n-1,则S2n+1:T2n+1=?
- 等差数列an、bn的前n项和分别为sn、tn,an/bn=2n+1/3n-2,求a11/b11和S2n+1/T2n+1
- 金银岛英文简介
- 若函数f(x)=loga(x+1)(a>0,a≠1)的定义域和值域都是[0,1],则a等于( ) A.13 B.2 C.22 D.2
- 已知实数x,y满足(x+5)^2+(y-12)^2=225,那么(y+18)/(2x+10)的取值范围是多少?
猜你喜欢
- 李小峰的爸爸今年工资比去年工资增加; 1/8今年的工资是去年的百分之几
- 用一根竹竿比门宽4尺,竖着比门2尺,沿着门的对角线刚好进去,竹竿有多长
- ∫dx/sinx怎样求?
- 跪求一篇开心的事情作文,或一片伤心的事情作文,200字就ok,
- Here comes the bus, let's____ . A get it on B get it into 哪个对?为什么?
- 难道你不会钓到怎么打的鱼么改为陈述句急!
- 13/12,9/8,3/4,14/9,4/5,5/4,7/6的顺序
- 3月12日植树节,解放军叔叔去植树,种了柳树和杨树共124棵,柳树的棵树比杨树的2倍多4棵,杨树种了多少棵?