问题
选择题
已知等差数列{an}满足a1+a2+a3+…+a101=0,则有( )
A.a1+a101>0
B.a1+a101<0
C.a1+a101=0
D.a51=51
答案
∵a1+a2+a3+…+a101=0
∴S101=101×
=0a1+a101 2
∴a1+a101=0
故选C
已知等差数列{an}满足a1+a2+a3+…+a101=0,则有( )
A.a1+a101>0
B.a1+a101<0
C.a1+a101=0
D.a51=51
∵a1+a2+a3+…+a101=0
∴S101=101×
=0a1+a101 2
∴a1+a101=0
故选C