若数列a1、a2、a3、a4成等比数列且a1a2=-32/3,a2a3=-24,则q= _ .

问题描述:

若数列a1、a2、a3、a4成等比数列且a1a2=-

32
3
,a2a3=-24,则q= ___ .

∵a1a2=-

32
3
,a2a3=-24,
a1a2
a2a3
=
a1
a3
=
1
q2
=
4
9

∴q=±
3
2

故答案为:±
3
2