S3=a1+a2+a3=9/2,a3=3/2,则:
a1+a2=3
所以a1+a1q=3
a3=3/2 ====>>>>a1q²=3/2
两方程相除,消去a1,得:
(1+q)/(q²)=2
2q²-q-1=0
q=1或q=-1/2