等差数列{an}a1=1前n项和为Sn且S2n/Sn=4n+2/n+1 (1)求an通项公试

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/17 04:47:29

等差数列{an}a1=1前n项和为Sn且S2n/Sn=4n+2/n+1 (1)求an通项公试
等差数列{an}a1=1前n项和为Sn且S2n/Sn=4n+2/n+1 (1)求an通项公试

等差数列{an}a1=1前n项和为Sn且S2n/Sn=4n+2/n+1 (1)求an通项公试
设公差为d
根据Sn=n(a1+an)/2=na1+n(n-1)d/2=n[2+(n-1)d]/2
S2n/Sn=2[2+(2n-1)d]/[2+(n-1)d]
与原式比较,即:2[2+(2n-1)d]/[2+(n-1)d]=(4n+2)/(n+1 )
d=1
an=1+n-1=n

已知数列{an}的前n项和为Sn,且满足an+2Sn*Sn-1=0,a1=1/2.求证:{1/Sn}是等差数列 在等差数列{an}中,Sn为其前n项和,且a1=13,S3=Sn(1)求an及Sn;()求Sn的最大值. 等差数列{an}a1=1前n项和为Sn且S2n/Sn=4n+2/n+1 (1)求an通项公试 已知等差数列{An}前n项和为Sn,且Sm/Sn=m^2/n^2,m≠n,A1=1,则An 设等差数列{an}前n项和为Sn,且a1>0,S13=S19,求Sn的最大值 已知数列an是等差数列,且a1不等于0,Sn为这个数列的前n项和,求limnan/Sn.limSn+Sn-1/Sn+Sn-1 已知{an}是公差不为0的等差数列,a1=1,且a1,a3,a9成等比数列,求数列{2^an}的前n项和Sn 等差数列{an}中,a1>0,前n项和为Sn,且S9>0,S10 等差数列an ,前n项和为Sn,a1>0,且s12>0,s13 等差数列{an}中,前n项和为sn,a1>0,且s12>0,s13 等差数列{An}中,前n项和为Sn A1>0 且s12>0 s13 已知等差数列an的前n项和为Sn,且a1^2+a8^2 数列{an}前n项和Sn=npa[n](n是正整数),且a1不等于a2,(1)求p的值(2)证明{an}为等差数列 设等差数列{an}的前n项和为Sn 若a1=Sn> 等差数列前n项和为Sn,若a(n+1)=3Sn,a1=1,则通项an? 设数列an的前n项和为Sn,满足2Sn=an-2∧n+1 +1 ,且a1,a2+5,a3成等差设数列an的前n项和为Sn,满足2Sn=an-2∧n+1 +1 ,且a1,a2+5,a3成等差数列.求a1,an的通项 设数列An的前n项和为Sn,满足2Sn=An+1 -2^n+1+1,且A1.A2+5.A3成等差数列 求数列的设数列An的前n项和为Sn,满足2Sn=An+1 -2^n+1+1,且A1.A2+5.A3成等差数列 求数列的通项公式 若等差数列{an}的首项为a1,公差为d,前n项的和为Sn,则数列(Sn/n)为等差数列,且通项若等差数列{an}的首项为a1,公差为d,前n项的和为Sn,则数列(Sn/n)为等差数列,且通项为Sn/n=a1+(n-1)*(d/2).类似