问题
选择题
已知等差数列{an}满足a1+a2+…+a91=0,则有( )
A.a3+a89=0
B.a2+a90<0
C.a1+a91>0
D.a46=46
答案
∵等差数列{an}满足a1+a2+…+a91=0,
∴S91=
=0,即a1+a91=2a46=0,91(a1+a91) 2
则a3+a89=a2+a90=a1+a91=0.
故选A
已知等差数列{an}满足a1+a2+…+a91=0,则有( )
A.a3+a89=0
B.a2+a90<0
C.a1+a91>0
D.a46=46
∵等差数列{an}满足a1+a2+…+a91=0,
∴S91=
=0,即a1+a91=2a46=0,91(a1+a91) 2
则a3+a89=a2+a90=a1+a91=0.
故选A