1.已知等比数列{an}满足a1+a2=3,a2+a3=6,则a7=( )
A.64 B.81
C.128 D.243
解析:选A.设首项为a1,公比为q,
则⇒,
∴a7=a1q6=64.
2.已知等比数列{an}满足an>0,n=1,2,…,且a5·a2n-5=22n(n≥3),则当n≥1时,log2a1+log2a3+…+log2a2n-1=( )
A.n(2n-1) B.(n+1)2
C.n2 D.(n-1)2
解析:选C.由题知an=2n,log2a2n-1=2n-1,
log2a1+log2a3+…+log2a2n-1=1+3+… +(2n-1)=n2.