设数列{an}是等比数列,其前n项和为Sn,且S3=3a3,求公?
设数列{an}是等比数列,其前n项和为Sn,且S3=3a3,求公比q
a3=a1×(q)² S3=a1+a2+a3=a1+a1×q+a1×q²=a1(1+q+q²) a1(1+q+q²)=3a1q² 2q²-q-1=0 q=1或q=-0.5