设Sn是等差数列的前n项和.若S3/S7=1/3,则S6/S7=?答案是27/35

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设Sn是等差数列的前n项和.若S3/S7=1/3,则S6/S7=?答案是27/35
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设Sn是等差数列的前n项和.若S3/S7=1/3,则S6/S7=?答案是27/35
设Sn是等差数列的前n项和.若S3/S7=1/3,则S6/S7=?答案是27/35

设Sn是等差数列的前n项和.若S3/S7=1/3,则S6/S7=?答案是27/35
S3/S6=1/3
S6=3S3
6a1+15d=3(3a1+3d)
-3a1=-6d
a1=2d
所以 an=2d+(n-1)d=(n+1)d
Sn=n(2+n+1)d/2=n(3+n)d/2
S6/S7=(6×9)/(7×10)=27/35