选择题
1.(2016·河北衡水中学模拟)若等比数列{an}满足a1+a3=20,a2+a4=40,则公比q=( )
A.1 B.2
C.-2 D.4
解析 依题意得q===2,故选B.
答案 B
2.(2015·河南省焦作市高三统考)已知正项等比数列{an}满足a3·a2n-3=4n(n>1),则log2a1+log2a3+log2a5+…+log2a2n-1=( )
A.n2 B.(n+1)2
C.n(2n-1) D.(n-1)2
解析 ∵a3·a2n-3=4n,
∴log2a1+log2a3+…+log2a2n-1=log2(a1a2…a2n-1)
=log2(a1a2n-1a3a2n-3…)=log2(4n)=n2.
答案 A