Sn是等差数列{an}的前n项和,S7=3(a3+a7),那么S9/a4=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 17:48:51
Sn是等差数列{an}的前n项和,S7=3(a3+a7),那么S9/a4=?
x) {6cO{6uӎՉyg<{pI=:ډ:/?lhbkoTOv6TpCF!HR\,`yCmM[3(ERhhk1d8e ieo g6qS4c!&)@QC#YFF6yv 

Sn是等差数列{an}的前n项和,S7=3(a3+a7),那么S9/a4=?
Sn是等差数列{an}的前n项和,S7=3(a3+a7),那么S9/a4=?

Sn是等差数列{an}的前n项和,S7=3(a3+a7),那么S9/a4=?
s7=(a1+a7)*7/2=3(a3+a7)
所以7(a1+a1+6d)=6(a1+2d+a1+6d)
所以a1=3d
s9/a4
=[(a1+a9)*9/2]/a4
=(a1+a1+8d)*9/[2(a1+3d)]
=14d*9/12d
=21/2