1.已知等差数列{an}中,a1=-10,d=-1,Sn为前n项和,则S11为( )
A.165 B.-112
C.-135 D.-165
解析:选D.S11=11a1+×d=-110-55=-165.
2.已知数列{an}为等差数列,a10=10,数列前10项和S10=70,则公差d=( )
A.- B.-
C. D.
解析:选D.由S10=,得70=5(a1+10),解得a1=4,所以d===,故选D.
3.已知等差数列{an}的前n项和为Sn,S4=40,Sn=210,Sn-4=130,则n=( )
A.12 B.14
C.16 D.18
解析:选B.因为Sn-Sn-4=an+an-1+an-2+an-3=80,S4=a1+a2+a3+a4=40,所以4(a1+an)=120, a1+an=30,由Sn==210,得n=14.