等差数列{an}的前几项和为Sn,则(S7-S3)/S10=

问题描述:

等差数列{an}的前几项和为Sn,则(S7-S3)/S10=

设:an=a1+(n-1)d
Sn=na1+n(n-1)d/2
S7=7a1+21d
S3=3a1+3d
S10=10a1+45d
(S7-S3)/S10=(4a1+18d)/(10a1+45d) =2/5