设等差数列{an}的前n项和为Sn,若a5=5a3,则S4/S5
问题描述:
设等差数列{an}的前n项和为Sn,若a5=5a3,则S4/S5
答
a5=a3+2d
5(a1+2d)=a1+4d
4a1=-6d
a1=-3/2d
a4=a1+3d=3/2d
a5=a1+4d=5/2d
a1+a4=0
S4/S5=0