1.在等比数列{an}中,若=8,q=-2,则a7的值为( )
A.-64 B.64
C.-48 D.48
解析:a7=a4q3=8×(-2)3=-64.
答案:A
2.(2019·河北馆陶月考)已知等差数列{an}的公差为3,若a1,a3,a4成等比数列,则a2等于( )
A.-18 B.-15
C.-12 D.-9
解析:由题可得a=a1a4,
∴(a1+6)2=a1(a1+9),
∴a1=-12,
∴a2=-12+3=-9,故选D.
答案:D
3.在各项均为正数的等比数列{an}中,若a5·a6=9,则log3a1+log3a2+…+log3a10=( )
A.12 B.10
C.8 D.2+log35