问题
选择题
设等比数列{an}的前n项和为Sn,若
|
答案
由等比数列的性质可得S3,S6-S3,S9-S6仍成等比数列,
∵
=4,∴S6=4S3,∴S3,3S3,S9-4S3成等比数列,S6 S3
∴S9-4S3=9S3,解得S9=13S3,
∴
=S9 S6
=13S3 4S3 13 4
故选:C
设等比数列{an}的前n项和为Sn,若
|
由等比数列的性质可得S3,S6-S3,S9-S6仍成等比数列,
∵
=4,∴S6=4S3,∴S3,3S3,S9-4S3成等比数列,S6 S3
∴S9-4S3=9S3,解得S9=13S3,
∴
=S9 S6
=13S3 4S3 13 4
故选:C