[基础达标]
一、选择题
1.[2020·河北保定模拟]已知等比数列{an}中,有a3a11=4a7,数列{bn}是等差数列,且b7=a7,则b5+b9=( )
A.4 B.5
C.8 D.15
解析:∵a3a11=4a7,∴a=4a7,∵a7≠0,∴a7=4,∴b7=4,∴b5+b9=2b7=8,故选C项.
答案:C
2.[2019·贵州贵阳期中]设Sn为等比数列{an}的前n项和,8a2+a5=0,则=( )
A.11 B.5
C.-11 D.-8
解析:设等比数列{an}的公比为q,∵8a2+a5=0,∴q3=-8,∴q=-2,∴==-11,故选C项.
答案:C