A.an+1≥bn+1 B.an+1<bn+1 C.an+1=bn+1 D.an+1>bn+1
A.an+1≥bn+1 B.an+1<bn+1 C.an+1=bn+1 D.an+1>bn+1
思路解析:利用数列的知识在求出an+1的关系式时考虑用到均值定理得出与bn+1的关系式.
{an}的公差为d,{bn}的公比为q,a1=a=b1,a2n+1=a1+2nd,b2n+1=aq2n,又a+2nd=a·q2n,∴nd=
(q2n-1).∴an+1=a+
(q2n-1)=
(q2n+1)≥
·2·
=a·qn=bn+1.因此,选A.其他选项当然都不正确.
答案:A