一、选择题
1.记等差数列{an}的前n项和为Sn,若a1=,S4=20,则S6=( )
A.16 B.24
C.36 D.48
解析:∵S4=2+6d=20,∴d=3,故S6=3+15d=48.
答案:D
2.设{an}是等差数列,若a2=3,a7=13,则数列{an}前8项的和为( )
A.128 B.80
C.64 D.56
解析:设数列的前n项和为Sn,则
S8====64.
答案:C
3.已知数列{an}中,a2=6,a5=15,若bn=a2n,则数列{bn}的前5项和等于( )
A.30 B.45
C.90 D.186
解析:由等差数列{an}易得公差d1=3.又bn=a2n,所以{bn}也是等差数列,公差d2=6.S5=b1+b2+b3+b4+b5=a2+a4+a6+a8+a10=5×6+×6=90.