題目列表(包括答案和解析)
在數(shù)列中,若都有(為常數(shù)),則稱為“等方差數(shù)列”.下列是對“等方差數(shù)列”的判斷,正確命題序號為 .
(1)若數(shù)列是等方差數(shù)列,則數(shù)列是等差數(shù)列;
(2)數(shù)列是等方差數(shù)列;
(3)若數(shù)列既是等方差數(shù)列,又是等差數(shù)列,則該數(shù)列必為常數(shù)列;
(4)若數(shù)列是等方差數(shù)列,則數(shù)列(為常數(shù),也是等方差數(shù)列.
在數(shù)列中,若都有(為常數(shù)),則稱為“等方差數(shù)列”.下列是對“等方差數(shù)列”的判斷,正確命題序號為 .
(1)若數(shù)列是等方差數(shù)列,則數(shù)列是等差數(shù)列;
(2)數(shù)列是等方差數(shù)列;
(3)若數(shù)列既是等方差數(shù)列,又是等差數(shù)列,則該數(shù)列必為常數(shù)列;
(4)若數(shù)列是等方差數(shù)列,則數(shù)列(為常數(shù),也是等方差數(shù)列.
在數(shù)列中,若都有(為常數(shù)),則稱為“等方差數(shù)列”.下列是對“等方差數(shù)列”的判斷:
(1)若數(shù)列是等方差數(shù)列,則數(shù)列是等差數(shù)列;
(2)數(shù)列是等方差數(shù)列;
(3)若數(shù)列既是等方差數(shù)列,又是等差數(shù)列,則該數(shù)列必為常數(shù)列;
(4)若數(shù)列是等方差數(shù)列,則數(shù)列(為常數(shù),也是等方差數(shù)列.
則正確命題序號為 .
在數(shù)列{an}中,若都有a-a=p(n≥2,n∈N*)(p為常數(shù)),則稱{an}為“等方差數(shù)列”.下列是對“等方差數(shù)列”的判斷:
(1)若數(shù)列{an}是等方差數(shù)列,則數(shù)列{a}是等差數(shù)列;
(2)數(shù)列{(-1)n}是等方差數(shù)列;
(3)若數(shù)列{an}既是等方差數(shù)列,又是等差數(shù)列,則該數(shù)列必為常數(shù)列;
(4)若數(shù)列{an}是等方差數(shù)列,則數(shù)列{akn}(k為常數(shù),k∈N*)也是等方差數(shù)列.
則正確命題序號為________.
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