第2.1节《等差数列》同步测试题姓名:___________班级:___________1.在等差数列中,若,,则的值是()A.B.C.D.【答案】A2.已知等差数列中,,则的公差为()A.B.2C.10D.13【答案】B3.等差数列{an}中,a3=-5,a7=1,则a11等于()A.6B.7C.8D.9【答案】B4.在等差数列中,,,则()A.7B.8C.9D.10【答案】D5.设等差数列的公差为,且,则()A.B.C.D.【答案】C6.在等差数列{an}中,如果a1+a2=40,a3+a4=60,那么a7+a8=()A.95B.100C.135D.80【答案】B7.已知{an}满足a1=a2=1,,则a6-a5的值为()A.48B.96C.120D.130【答案】B8.在等差数列{an}中,若a4+a6+a8+a10+a12=120,则2a10-a12的值为()A.20B.22C.24D.28【答案】C9.已知数列{an}是公差为d的等差数列,a2=2,a1·a2·a3=6,则d等于()A.1B.-1C.±1D.2【答案】C10.在等差数列中,若为方程的两根,则()A.10B.15C.20D.40【答案】B11.等差数列满足,则_____________【答案】912.已知为等差数列,,,则_________.【答案】113.若等差数列,满足,则公差d取值范围是【答案】14.lg(-)与lg(+)的等差中项为_______.【答案】015.已知等差数列中,,则=___________.【答案】7516.在等差数列中,首项,公差,若,则__________.【答案】2917.在等差数列{an}中,a12=23,a42=143,an=239,求n及公差d.【答案】n=66,d=418.已知数列{an}满足递推关系式an+1=3an+3n﹣8(n∈N+),且{}为等差数列,则λ的值是.【答案】-419.在等差数列中,.(1)求数列的通项公式;(2)设,求的值.【答案】(1);(2)20.在等差数列{an}中,a1=1,S5=-15.(1)求数列{an}的通项公式;(2)若数列{an}的前k项和Sk=-48,求k的值.【答案】(1)an=3-2n;(2)k=8.