1.已知等差数列{an}中,a2=7,a4=15,则S10等于( B )
A.100 B.210 C.380 D.400
解析:∵d===4,
又a1+d=7,
∴a1=3.∴S10=10a1+d=10×3+45×4=210.
2.在等差数列{an}和{bn}中,a1=25,b1=15,a100+b100=139,则数列{an+bn}的前100项的和为( C )
A.0 B.4 475 C.8 950 D.10 000
解析:设cn=an+bn,则c1=a1+b1=40,c100=a100+b100=139,又{cn}是等差数列,
∴前100项和S100===8 950.
3.设数列{an}是等差数列,且a2=-6,a8=6,Sn是数列{an}的前n项和,则( B )