一、选择题 1.2+1与2-1两数的等比中项是( ) a.1 b.-1 c.±1 d.12 解析:设等比中项为x,则x2=(2+1)(2-1)=1,即x=±1. 答案:c 2.(2011•辽宁
高考)若等比数列{an}满足anan+1=16n,则公比为( ) a.2 b.4 c.8 d.16 解析:由anan+1=16n,得an+1an+2=16n+1,两式相除得,an+1an+2anan+1=16n+116n=16,∴q2=16, ∵anan+1=16n,可知公比为正数,∴q=4. 答案:b 3.已知数列{an},则“an,an+1,an+2(n∈n*)成等比数列”是“a2n+1=anan+2”的 (