> 数学 >
设Sn是等差数列{an}的前n项和,若
S3
S6
1
3
,则
S6
S7
=______.
人气:118 ℃ 时间:2020-04-03 15:29:09
解答
设等差数列首项为a,公差为d,
∴s3=3a+3d
s6=6a+15d
s7=7a+21d
S3
S6
1
3

3a+3d
6a+15d
1
3

∴a=2d
S6
S7
=
6a+15d
7a+21d
=
27
35

故答案为:
27
35
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