设等差数列{an}的前n项和为Sn,已知S10=100,则a4+a7=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/22 09:07:42
设等差数列{an}的前n项和为Sn,已知S10=100,则a4+a7=?设等差数列{an}的前n项和为Sn,已知S10=100,则a4+a7=?设等差数列{an}的前n项和为Sn,已知S10=100,

设等差数列{an}的前n项和为Sn,已知S10=100,则a4+a7=?
设等差数列{an}的前n项和为Sn,已知S10=100,则a4+a7=?

设等差数列{an}的前n项和为Sn,已知S10=100,则a4+a7=?
a4+a7=a1+3d+a1+6d=a1+(a1+9d)=a1+a10
s10=(a1+a10)*10/2=100
所以a4+a7=a1+a10=100*2/10=20