设数列{An}首项为A1,公比为q;S3=A1(1-q³)/(1-q)=6,S6=A1(1-q^6)/(1-q)=-42;S6/S1=1+q³=-7,∴q=-2;A1=6(1-q)/(1-q³)=6*(1+2)/(1+8)=2;通项公式:An=2*(-2)^(n-1)=-(-2)^n;