摘要:16.在数列{an}中.都有.则称{an}为“等方差数列 .下列是对“等方差数列 的判断:
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在数列{an}中,都有a
-a
=p(n≥2,n∈N*)(p为常数),则称{an}为“等方差数列”.下列是对“等方差数列”的判断:
(1)数列{(-1)n}是等方差数列;
(2)数列{an}是等方差数列,则数列{a
}也是等方差数列;
(3)若数列{an}既是等方差数列,又是等差数列,则该数列必为常数列;
(4)若数列{an}是等方差数列,则数列{akn}(k为常数,k∈N*)也是等方差数列.
则正确命题序号为________.
给出定义:在数列{an}中,都有
( p为常数),则称{an}为“等方差数列”.下列是对“等方差数列”的判断:
(1)数列{an}是等方差数列,则数列
是等差数列;
(2)数列{(-1)n}是等方差数列;
(3)若数列{an}既是等方差数列,又是等差数列,则该数列必为常数数列;
(4)若数列{an}是等方差数列,则数列{akn}( k∈N*,k为常数)也是等方差数列.
其中正确命题序号为 . 查看习题详情和答案>>
(1)数列{an}是等方差数列,则数列
(2)数列{(-1)n}是等方差数列;
(3)若数列{an}既是等方差数列,又是等差数列,则该数列必为常数数列;
(4)若数列{an}是等方差数列,则数列{akn}( k∈N*,k为常数)也是等方差数列.
其中正确命题序号为 . 查看习题详情和答案>>
给出定义:在数列{an}中,都有
( p为常数),则称{an}为“等方差数列”.下列是对“等方差数列”的判断:
(1)数列{an}是等方差数列,则数列
是等差数列;
(2)数列{(-1)n}是等方差数列;
(3)若数列{an}既是等方差数列,又是等差数列,则该数列必为常数数列;
(4)若数列{an}是等方差数列,则数列{akn}( k∈N*,k为常数)也是等方差数列.
其中正确命题序号为 . 查看习题详情和答案>>
(1)数列{an}是等方差数列,则数列
(2)数列{(-1)n}是等方差数列;
(3)若数列{an}既是等方差数列,又是等差数列,则该数列必为常数数列;
(4)若数列{an}是等方差数列,则数列{akn}( k∈N*,k为常数)也是等方差数列.
其中正确命题序号为 . 查看习题详情和答案>>