已知数列an满足a1=0且Sn+1=2Sn+1/2n(n+1) 1,求 a2 a3,并证明an+1=2an+n 2,设bn=an+1-an,求证bn+1=2bn+

已知数列｛an｝的前n项和为Sn,且满足an+2Sn×S(n-1)=0,a1=1/2.（1）求证：｛1/Sn｝是等差数列；（2）求数列｛an｝的通项公式. 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 已知数列{An}前几项和为Sn,且满足An+2Sn×S(n-1)=0(N>且=2）,A1=1/2,求{1/Sn}是等差数列 ,另求An表达式 已知数列{an}中的前几项和为Sn且满足a1=0.5,an=-2Sn*S（n-1).证明数列｛1/Sn｝为等差数列,求Sn与an 已知数列{an}中a1=1,且满足an+an-1不等于0,Sn=1/6*(an+1)(an+2).(1)求通项an,并说明{an}是什么数列(2)求数列{an}的前n项和Sn 已知数列{an}的前n项和为Sn,且满足an+2Sn*S(n-1)=0 (n>=2),a1=0.5.(1)求证：{1/Sn}是等差数列 （2）求an 已知数列{an}a1=2前n项和为Sn 且满足Sn Sn-1=3an 求数列{an}的通项公式an已知数列{an}a1=2前n项和为Sn 且满足Sn +Sn-1=3an 求数列{an}的通项公式an 已知数列{an},其前n项和Sn满足S(n+1)=2λSn+1 a1=1 a3=4 试比较Tn/2与Sn大小已知数列{an},其前n项和Sn满足S(n+1)=2λSn+1(λ是大于0的常数) 且a1=1 a3=4 （1）求λ的值（2）求数列{an}通向公式an（3）设数列{nan} 已知数列{an}中,an>0,s=a1+a2+.+an,且an=6sn/(an+3),求sn 已知数列{an}满足a1=2,且2Sn+1Sn/(Sn-Sn+1)=1,求{an}通相公式 高数,已知数列An满足A1=1／2,且前n项和Sn满足Sn=n²An,则An=? 已知数列An满足A1=1／2,且前n项和Sn满足Sn=n²An,则An 已知数列{an}满足Sn+Sn-1=tan2(t>0,n≥2),且a1=0,n≥2时,an>0.其中Sn是数列an的前n项和.已知数列{an}满足Sn+Sn-1=tan2（t＞0,n≥2）,且a1=0,n≥2时,an＞0．其中Sn是数列an的前n项和．（I）求数列{an}的通项公式 已知数列{an}满足:a1=3,an=Sn-1+2n,求数列an及sn 已知数列{an}满足,a1=2,a(n+1)=3根号an,求通项an数列{an}满足:an>0,且根号下Sn=an+1/4,求通项an 已知数列an的前n项为Sn,且满足Sn=S(n-1)/2S(n-1)+1(n≥2）,a1=2(1)求证:{1/Sn}是等差数列(2)求an的表达式. 已知数列{an}满足a1=1/2,sn=n^2an,求通项an 已知数列{an},满足a1=1/2,Sn=n²×an,求an