题目内容
在等差数列{an}中,3(a3+a5)+2(a7+a11+a12)=48,则此数列的前13项之和为A.24 B.39 C.52 D.104
C ∵{an}成等差数列,3(a3+a5)+2(a7+a11+a12)=48,
∴6a4+2(a7+a7+4d+a7+5d)=48.∴6(a7-3d)+6a7+18d=48.∴12a7=48.∴a7=4.∴S13=13a7=13×4=52.
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题目内容
在等差数列{an}中,3(a3+a5)+2(a7+a11+a12)=48,则此数列的前13项之和为A.24 B.39 C.52 D.104
C ∵{an}成等差数列,3(a3+a5)+2(a7+a11+a12)=48,
∴6a4+2(a7+a7+4d+a7+5d)=48.∴6(a7-3d)+6a7+18d=48.∴12a7=48.∴a7=4.∴S13=13a7=13×4=52.