数列a1=1 前n项和sn满足2ksn-(2k+1)sn-1=2k 求证:an是等比数列

已知数列｛An}的前n项和Sn满足S(n+1)=KSn+2(n属于N*)且a1=2,a2=1 (1) 求K的值和Sn的表 已知数列{an}的前n项和为Sn,且满足Sn=Sn-1/2Sn-1 +1,a1=2,求证{1/Sn}是等差数列 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 证明数列是等比数列数列前n项和为Sn,a1=1,a(n+1)=（n+2)Sn/n,求证Sn/n是等比数列, 已知数列{An},Sn是其前n项和,且满足3An=2Sn+n,n为正整数,求证数列{An+1/2}为等比数列 数列An的前n项和为Sn,已知A1=1,An+1=Sn*(n+2)/n,证明数列Sn/n是等比数列 an的前n项和Sn,a1=1,an+1=(n+2)/nSn,证数列Sn/n是等比数列和Sn+1=4an 等比数列的证明方式数列An的前n项和为Sn,A1=1,A(n+1)=2Sn+1,证明数列An是等比数列 有穷数列｛an｝共有2k项,a1=2,设数列前n项和为Sn,且an+1=（a-1）Sn+2,a>1,求证：数列｛an｝是 已知数列{an}中.a1=1,n大于等于2时.其前n项和Sn满足Sn^2=an(Sn-1/2).求证：数列{1/Sn}是 数列an的前n项和为Sn,已知a1=1,an+1=(n+2)/nSn.求证：（1）数列{Sn/n}是等比数列（2）Sn+ 等比数列{an}中,a1=2,前n项和为Sn,若数列{Sn+1}也是等比数列,求前n项和Sn