n>=2时An=Sn-S(n-1)Sn-S(n-1)-2SnS(n-1)=0两边除以SnS(n-1)1/S(n-1)-1/Sn-2=01/Sn-1/S(n-1)=-2a1=1,1/s1=1{1/Sn}是以1为首项,公差为-2的等差数列1/sn=1-2*(n-1)=-2n+3,sn=1/(-2n+3)n≥2时,an=2SnSn-1=2*1/(-2n+3)*1/(-2*(n-1)+3)