设等比数列的公比是q.
(a3+a4)/( a1+a2)=q²,q²=12/3=4,q=±2.
q=2时,代入a1+a2=3得a1+ 2a1=3,a1=1.
此时a2a3=a1q•a1q²=8
q=-2时,代入a1+a2=3得a1- 2a1=3,a1=-3.
此时a2a3=a1q•a1q²=-72.
设等比数列的公比是q.
(a3+a4)/( a1+a2)=q²,q²=12/3=4,q=±2.
q=2时,代入a1+a2=3得a1+ 2a1=3,a1=1.
此时a2a3=a1q•a1q²=8
q=-2时,代入a1+a2=3得a1- 2a1=3,a1=-3.
此时a2a3=a1q•a1q²=-72.