设Sn是公差不为0的等差数列{an}的前n项和,S3=9,且S1,S2,S4成等比数列,则a7的值为(  )A.7B.11C

2025-04-04 15:24:12
推荐回答(1个)
回答1:

数列{an}是公差不为0的等差数列,设公差为d,
∵S1,S2,S4成等比数列,∴S22=S1?S4
∴( 2a1+d)2=a1?(4a1+6d),化简可得d=2a1
∵S3=9,
∴3a1+3d=9,
∴a1=1,d=2,
∴a7=a1+6d=13.
故选:C.