>
数学
>
已知函数f(x)=3x/(x+3),数列Xn的通项由Xn=f(Xn-1)确定 求证{1/Xn}是等差数列.
人气:171 ℃ 时间:2019-08-18 07:44:07
解答
Xn=f(Xn-1)
即:
Xn=3X(n-1)/[X(n-1)+3]
1/Xn=1/3+1/X(n-1)
所以:
1/Xn-1/X(n-1)=1/3
所以数列:
{1/Xn}为等差数列,公差为1/3
推荐
已知函数f(x)=3x/x+3,数列{xn}的通项由xn=f(xn-1)(n≥2,n∈N+)确定. (Ⅰ)求证:{1/xn}是等差数列; (Ⅱ)当x1=1/2时,求x100.
已知函数f(x)=3x/x+3,数列{xn}的通项由xn=f(xn-1)(n≥2,且n∈N*)确定.(1)求证{1/xn}是等差数列;(2)当x1=1/2时,求x100.
已知函数f(x)=3x/x+3,数列{an}满足Xn+1(1是角数)=f(Xn),求证:1/Xn是等差数列
已知函数f(x)=3x/(x+3),数列(xn)的通项公式由xn=f[x(n-1)](n>=2且为正整数)求证{1/xn}是等差数列
已知函数f(x)=3x/x+3,数列{xn}的通项由xn=f(xn-1)(n≥2,n∈N+)确定. (Ⅰ)求证:{1/xn}是等差数列; (Ⅱ)当x1=1/2时,求x100.
must后面跟动词原形吗?
how many students are there in your ciass?还有把着问句回答了
若方程3x−2=ax+4x(x−2)有增根,则增根可能为( ) A.0 B.2 C.0或2 D.1
猜你喜欢
用长3分米宽2分米的长方形瓷砖能否不成正方形?如果能这个正方形的边长最小是多少分米?至少需要多少块这样的瓷砖?
岑参的一首古诗
Can you tell me how I can get to the police station?这句子对吗?分析下下
Have you asked her for the reason____may explain her absence?横线上的答案除了填that 能不能换成which
The primary working hypothesis was that motion preservation would reveal beneficial effects with regard to adjacent leve
what colour is Davad's trousers?怎么改错?
记叙文顺序有哪些 (指时间顺序等的)
教师怎么写好课时计划(教案)?
© 2026 79432.Com All Rights Reserved.
电脑版
|
手机版