数列{an}的前n项和为Sn,如果a1=1/3 sn=n+2/3 *an a9=?
人气:370 ℃ 时间:2020-05-08 14:50:09
解答
sn=[(n+2)/3] an .(1)=>S(n-1)=[(n+1)/3]a(n-1).(2)(1)-(2)Sn-S(n-1)=[(n+2)/3] an -[(n+1)/3]a(n-1)=>an=[(n+2)/3] an -[(n+1)/3]a(n-1)=>[(n+1)/3]a(n-1)={[(n+2)/3] -1}an =[(n-1)/3]an=>an=[(n+1)/(n-1)a(n-1)=>...an=[(n+2)/3] an -[(n+1)/3]a(n-1)这一步到下面的=>[(n+1)/3]a(n-1)={[(n+2)/3] -1}an =[(n-1)/3]an=>an=[(n+1)/(n-1)a(n-1)看不懂Sn-S(n-1)=anan=[(n+2)/3] an -[(n+1)/3]a(n-1)这一步懂,=>[(n+1)/3]a(n-1)={[(n+2)/3] -1}an =[(n-1)/3]an=>an=[(n+1)/(n-1)a(n-1)看不懂移项合并
推荐
- 若数列An的前N项和Sn=1/(n(n+1)),A1+A9=
- 等差数列{an}是递增数列,前n项和为Sn,且a1,a3,a9成等比数列,S5=(a5)^2
- 数列an是等差数列,a1>0,且|a5|=|a9|,则an的前n项和为Sn,取最大时,n=?
- 在差数列{an}的钱n项和为Sn,a1+a9=10,则a5等于多少
- 设等差数列{an}的前n项和Sn,若a1+a5+a9=18,则S9=_.
- 如图,在三角形ABC中,AB边的垂直平分线l1
- 合力不变两个分力的夹角由零度开始 逐渐对称分开的过程分力的大小如何变化
- 甲乙两袋中各有球,如从甲袋取14个球放乙,甲乙球数比为2:1:如从乙袋取6个小球放甲袋,甲乙球数比5:2
猜你喜欢