1.若数列{an}是等比数列,下列命题中正确的个数为( )
①{a},{a2n}均为等比数列;②{lnan}成等差数列;③,{|an|}成等比数列;④{can},{an±k}均为等比数列.
A.4B.3C.2D.1
2.公差不为零的等差数列{an}的前n项和为Sn,若a4是a3与a7的等比中项,S8=16,则S10等于( )
A.30B.24C.18D.60
3.已知等比数列{an}的各项都是正数,且3a1,a3,2a2成等差数列,则等于( )
A.6B.7C.8D.9
4.已知等比数列{an}中,a2a3a4=1,a6a7a8=64,则a5等于( )
A.±2B.-2C.2D.4
5.已知数列{an}满足:an+1=λan+1(n∈N*,λ∈R且λ≠0),若数列{an+1}是等比数列,则λ的值等于( )
A.1B.-1C.D.2
6.已知数列{an}为等比数列,且a2a3a4=-a=-64,则tan等于( )
A.-B.C.±D.-
7.已知等比数列{an}的前n项和为Sn,则下列判断一定正确的是( )
A.若S3>0,则a2018>0
B.若S3<0,则a2018<0
C.若a2>a1,则a2019>a2018
D.若>,则a2019<a2018