问题
选择题
等差数列{an}的公差d≠0,且a1,a3,a4成等比数列,Sn是数列{an}的前n项和,则
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答案
∵等差数列{an}的公差d≠0,且a1,a3,a4成等比数列,
∴(a1+2d)2=a1•(a1+3d),
解得a1=-4d,
∴
=S4-S2 S5-S3 (4a1+
d)-(2a1+4×3 2
d)2×1 2 (5a1+
d)-(3a1+5×4 2
d)3×2 2
=(-16d+6d)-(-8d+d) (-20d+10d)-(-12d+3d)
=3.
故选A.