1.已知数列{an}中,a1=2,=2,则数列{an}的前n项和Sn等于( )
A.3×2n-3n-3 B.5×2n-3n-5
C.3×2n-5n-3 D.5×2n-5n-5
2.数列{an}中,an=(-1)nn,则a1+a2+…+a10等于( )
A.5B.-5C.10D.-10
3.(2019·杭州模拟)已知等差数列{an}的前n项和为Sn,且a9=a12+6,a2=4,则数列的前10项和为( )
A.B.C.D.
4.定义函数f(x)如下表,数列{an}满足an+1=f(an),n∈N*.若a1=2,则a1+a2+a3+…+a2019等于( )
x
|
1
|
2
|
3
|
4
|
5
|
6
|
f(x)
|
3
|
5
|
4
|
6
|
1
|
2
|
A.7042B.7058C.7064D.7262
5.已知数列{an}中,a1=1,a2=,a3=,a4=,…,an=,则数列{an}的前n项和Sn等于( )
A. B.
C. D.
6.(2019·嘉兴模拟)如果函数f(x)=kx-1(k≠0,x∈N*),Sn=f(1)+f(2)+…+f(n),若f(1),f(3),f(13)成等比数列,则( )
A.2Sn-7≤5f(n) B.2Sn+7≤5f(n)
C.2Sn-7≥5f(n) D.2Sn+7≥5f(n)