已知等差数列前五项和为零.前十项和为负一百.求这个数列的前二十项和
问题描述:
已知等差数列前五项和为零.前十项和为负一百.求这个数列的前二十项和
rtttttttttttttttttttttttttttt
答
S10-S5=a6+a7+a8+a9+a10=-100
5a8=-100
a8=-20
S5=a1+a2+a3+a4+a5=5a3=0
a3=0
d=(a8-a3)/5=-4
a1=a3-2d=8
S20=20a1+[20*(20-1)/2]*d
=160-4*190
=-600