题目内容
、设{an}是公差不为0,且各项均为正数的等差数列,则( )
A.a1·a8>a4·a5 | B.a1·a8<a4·a5 |
C.a1·a8=a4·a5 | D.以上答案均可能 |
B
解:因为设{an}是公差不为0,且各项均为正数的等差数列,则利用通项公式可知:设此等差数列的公差为d,则a8=a1+7d,a4=a1+3d,a5=a1+4d,
则a1•a8=a12+7a1d,a4•a5=a12+7a1d+12d2,又d≠0,数列an各项均为正数,
则a1•a8=a12+7a1d<a4•a5=a12+7a1d+12d2,
故选A
则a1•a8=a12+7a1d,a4•a5=a12+7a1d+12d2,又d≠0,数列an各项均为正数,
则a1•a8=a12+7a1d<a4•a5=a12+7a1d+12d2,
故选A
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