2015-2016学年高中数学 2.2.2等差数列的性质练习新人教A版必修5
►基础梳理
1.(1)设{an}为等差数列,若已知公差为d,则an-am=__________.由此知,an=am+________.
(2)已知{an}为等差数列,已知公差d=3,a2=6,则an=____________.
2.(1)设{an}为等差数列,则与首末两项距离相等的两项和等于__________,即______________________.
(2)在等差数列{an}中,an=2n-1,则a3+a5=______,a2+a6=______,可知a3+a5______a2+a6.
3.(1)设{an}为等差数列,若m+n=p+q,则________________________________________________________________________.
(2)设{an}为等差数列,若m+n=2p,则
________________________________________________________________________.
4.(1)设{an}为等差数列,则对于任意常数b,有{ban}为__________.
(2)已知数列{an}为等差数列,且an=3n+2(n∈N*),则数列{3an}的第n项为______.
5.(1)等差数列{an}的等间隔项组成的数列为________.
(2)已知{an}为等差数列,且其公差为d,则{a2n-1}是__________,其公差为______.