我就说怎么做不出来,我把你的题里Sn-1没理解成数列的角标,你应该写成S(n-1)。an/-2=SnSn-1,-2/an=1/SnSn-1=1/Sn*1/Sn,1/Sn=-2Sn-1/an,Sn-1=-2Sn/an,(1/Sn)-(1/Sn-1)=[(-2Sn-1)+(2Sn)]/an=2(Sn-Sn-1)/an=2an/an=2,所以1/Sn是等差数列。1/S1=2,1/Sn=(1/S1)+(n-1)d=2+(n-1)2=2n,Sn=1/2n.an=-2Sn(Sn-1)=-2*(1/2n)*(1/2n-2)=-1/2n^2-2n,我感觉做错了,数列好久以前的东西,忘光了