数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数列{an}的通项公式为?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/27 06:06:06
数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数列{an}的通项公式为?数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数

数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数列{an}的通项公式为?
数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数列{an}的通项公式为?

数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数列{an}的通项公式为?
令Sn=a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1),则:
an=Sn-S(n-1)
其中n>1,n∈N+

an/(2n-1)= 3^(n+1) - 3^(n)
=2·3^(n) 其中n>1,n∈N+
an = 2(2n-1)·3^(n)
所以:
1 n=1
an =
2(2n-1)·3^(n) n>1

若数列{an}满足a1,a2-a1,a3-a2,...是以1为首相,3为公比的等比数列,则an______ 已知数列{an}满足a1+2a2+3a3+…+nan=n(n+1)(n+2),则a1+a2+a3+…+an=多少? 已知数列{an}满足a1,a2-a1,a3-a2,...,an-an-1,...是首项为1,公比为1/3的等比数列.求an的表达式? 数列{an}满足:a1,a2-a1,a3-a2……,an-an-1构成以2为首项,3为公比的等比数列,求an 数列{an}满足a1,a2-a1,a3-a2,……,an-an-1是以1为首项,1/3为公比的等比数列,则通项公式 若数列{an}满足a1+2a2+3a3+~~+nan=n(n+1)(2n+1),则an= 设数列{an}满足a1+2a2+3a3+.+nan=n(n+1)(n+2)求通项an 数列An 满足 a1+2a2+3a3+.+nan=n(n+1)(n+2) 求an 数列an满足a1+2a2+3a3+...+nan=n(n+1)(n+2) 求通项an急,谢谢解惑 已知数列{an}的前n项和为Sn 1若数列{an}是等比数列,满足2a1+a3=3a2.a3+2是a已知数列{an}的前n项和为Sn1若数列{an}是等比数列,满足2a1+a3=3a2.a3+2是a2.a4的等差中项,求数列{an}的通向公式 数列an满足a1=1/2,a1+a2+a3……an=n^2an,则an 已知数列{an}满足2a1+2^2a2+2^3a3+...+2^nan=4^n-1,则{an}的通项公式2a1+2^2a2+2^3a3就是2a1+4a2+8a3... 已知数列{an}满足a1=1,an=a1+2a2+3a3.+(n-1)an-1 (n>=2),则{an}的通项是什么 已知数列{an}满足a1=1,an=a1+2a2+3a3+……+(n-1)an-1 (n≥2)求an=? 设数列【an】满足a1=1,3(a1+a2+a3+······+an)=(n+2)an,求通项an (1)数列{an}中,a1=1,a2=-3,a(n+1)=an+a(n+2),则a2005=____(2)已知数列{an}满足a1=1,a1×a2×a3…an=n^2,求an. 已知数列an'满足a1=1/2,a1+a2+a3+...+an=n^2an,求通项公式 已知等比数列an中,满足a1+a2=3,a2+a3=6,则数列{An+An+1}的前8项和