数列{an}满足a1=1/2,an+1=1/2-an(n属于正整数)设bn=1/1-an,证明{bn}是等差数列,并求bn和an各位哥哥姐姐们谁会啊?
来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/29 20:20:00
数列{an}满足a1=1/2,an+1=1/2-an(n属于正整数)设bn=1/1-an,证明{bn}是等差数列,并求bn和an各位哥哥姐姐们谁会啊?数列{an}满足a1=1/2,an+1=1/2-a
数列{an}满足a1=1/2,an+1=1/2-an(n属于正整数)设bn=1/1-an,证明{bn}是等差数列,并求bn和an各位哥哥姐姐们谁会啊?
数列{an}满足a1=1/2,an+1=1/2-an(n属于正整数)
设bn=1/1-an,证明{bn}是等差数列,并求bn和an
各位哥哥姐姐们谁会啊?
数列{an}满足a1=1/2,an+1=1/2-an(n属于正整数)设bn=1/1-an,证明{bn}是等差数列,并求bn和an各位哥哥姐姐们谁会啊?
an+1=1/2-an两边减1得:
(an+1)-1=1/(2-an)-1,再取倒数整理得:
1/[(an+1)-1]=-1+1/(an-1),
所以,数列{1/[(an)-1]}是首项-2,公差-1的等差数列,∴1/[(an)-1]=-n-1,
解得:an=n/(n+1).
∵bn=1/1-an,代入an整理得:bn=n+1,故bn+1=n+2,(bn+1)-bn=n+2-n-1=1,∴{bn}是等差数列.
下标易混,注意识别.自己写一写更清楚.
54
数列{An}满足a1=1/2,a1+a2+..+an=n方an,求an
数列{an}满足a1=1 an+1=2n+1an/an+2n
数列{an}满足a1=1,且an=an-1+3n-2,求an
数列an满足a1=2,an+1=4an+9,则an=?
已知数列{an}满足an+1=2an+3.5^n,a1=6.求an
数列an满足a1=2,an+1=an²求an
数列an满足a1=2,an+1=an²求an
已知数列{an}满足a1=1 an+1=an/(3an+1) 则球an
已知数列an满足 a1=1/2,an+1=3an/an+3求证1/an为等差数列已知数列an满足 a1=1/2,an+1=3an/an+3求证1/an为等差数列
数列an满足a1=1/2,a1+a2+a3……an=n^2an,则an
已知数列{An}满足A1=1,An+1=2An+2^n.求证数列An/2是等差数列
已知数列{an}满足a1=1/2,an+1=3an+1,求数列{an}通项公式
数列an满足a1=1/2 an+1=an/(2an+3) 猜想数列通项公式
急!.数列{an}满足a1=2,an+1=-1/an+1,则a2010=?
数列{an}满足a1=a,an+1=1+1/an.若3/2
数列an满足a1=1,a(n+1)=an/[(2an)+1],求a2010
已知数列满足a1=1 ,an+1+2an=2 求an
已知数列an满足条件a1=-2 an+1=2an+1则a5