等比则a2²=a1a3
2a3=a1-a2
a2=a1-2a3
所以a1²-4a1a2+4a3²=a1a3
a1²-5a1a2+4a3²=0
(a1-a3)(a1-4a3)=0
a1=a3,a1=4a3
q²=a3/a1=1或1/4
an>0
所以q>0
所以a=1,q=1/2
等比则a2²=a1a3
2a3=a1-a2
a2=a1-2a3
所以a1²-4a1a2+4a3²=a1a3
a1²-5a1a2+4a3²=0
(a1-a3)(a1-4a3)=0
a1=a3,a1=4a3
q²=a3/a1=1或1/4
an>0
所以q>0
所以a=1,q=1/2