问题标题:
【设数列{an}是等差数列,公差d>0,Sn为其前n项和,若正整数i,j,k,l满足i<k<l<j,且i+j=k+l,则()A.Si+Sj<Sk+SlB.Si+Sj>Sk+SlC.SiSj<SkSlD.SiSj>SkSl】
问题描述:
设数列{an}是等差数列,公差d>0,Sn为其前n项和,若正整数i,j,k,l满足i<k<l<j,且i+j=k+l,则()
A.Si+Sj<Sk+Sl
B.Si+Sj>Sk+Sl
C.SiSj<SkSl
D.SiSj>SkSl
吕卓回答:
由题意,i,k,l,j,不妨取1,2,3,4,则
S1+S4=a1+2(a1+a4)=5a1+6d,S2+S3=(a1+a2)+32
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