2015-2016学年高中数学 2.3.1数列前n项和与等差数列的前n项和练习新人教A版必修5
►基础梳理
1.(1)对于任意数列{an},Sn=__________________,叫做数列{an}的前n项的和.
(2)Sn-Sn-1=____________.
2.(1)等差数列{an}的前n项和公式为________________________________________________________________________.
(2)等差数列:2,4,6,…,2n,…的前n项和Sn=
__________.
(3)等差数列首项为a1=3,公差d=-2,则它的前6项和为______.
3.(1)等差数列依次k项之和仍然是等差数列.即Sk,S2k-Sk,S3k-S2k,…成公差为______________的等差数列.
(2)已知等差数列{an},an=n,则S3,S6-S3,S9-S6分别为:________.它们成______数列.
4.(1)由Sn的定义可知,当n=1时,S1=________;当n≥2时,an=__________,即an=__________________.
(2)已知等差数列{an}的前n项和为Sn=n2,则an=________________=____________.