问题
选择题
设Sn是公差不为0的等差数列{an}的前n项和,且S1,S2,S4成等比数列,则
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答案
由S1,S2,S4成等比数列,
∴(2a1+d)2=a1(4a1+6d).
∵d≠0,∴d=2a1.
∴
=a2 a1
=a1+d a1
=3.3a1 a1
故选C
设Sn是公差不为0的等差数列{an}的前n项和,且S1,S2,S4成等比数列,则
|
由S1,S2,S4成等比数列,
∴(2a1+d)2=a1(4a1+6d).
∵d≠0,∴d=2a1.
∴
=a2 a1
=a1+d a1
=3.3a1 a1
故选C