1.等差数列a-2d,a,a+2d,…的通项公式是( )
A.an=a+(n-1)d B.an=a+(n-3)d
C.an=a+2(n-2)d D.an=a+2nd
解析:选C 数列的首项为a-2d,公差为2d,∴an=(a-2d)+(n-1)·2d=a+2(n-2)d.故选C.
2.已知a=,b=,则a,b的等差中项为( )
A. B.
C. D.
解析:选A 设等差中项为x,由等差中项的定义知,2x=a+b=+=(-)+(+)=2,
∴x=,故选A.
3.在等差数列{an}中,已知a1=,a4+a5=,ak=33,则k=( )
A.50 B.49
C.48 D.47