第39练等比数列[基础保分练]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.12.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.603.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.94.已知等比数列{an}中,a2a3a4=1,a6a7a8=64,则a5等于()A.±2B.-2C.2D.45.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.26.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>0B.若S3a2018D.若>,则a20190,b>0,若是4a与2b的等比中项,则+的最小值为()A.2B.8C.9D.102.已知{an}是等比数列,a2=2,a5=,则a1a2+a2a3+…+anan+1等于()A.16(1-4-n)B.6(1-2-n)C
(1-4-n)D
(1-2-n)3.已知数列{an}中,a1=1,an+1=2an+1(n∈N*),Sn为其前n项和,则S5的值为()A.63B.61C.62D.574.等比数列{an}中,a1=512,公比q=-,用Tn表示它的前n项之积Tn=a1·a2·…·an,则Tn中最大的是()A.T11B.T10C.T9D.T85.设正项等比数列{an}的前n项和为Sn,若S9-S7=3(a4+a5),