9-10高一下·浙江宁波·期末
解题方法
1 . 定义:在数列
中,若
,(n≥2,n∈N*,p为常数),则称
为“等方差数列”.下列是对“等方差数列”的有关判断:
①若
是“等方差数列”,则数列
是等差数列;②
是“等方差数列”;
③若
是“等方差数列”,则数列
(k∈N*,k为常数)也是“等方差数列”;
④若
既是“等方差数列”,又是等差数列,则该数列是常数数列.
其中正确的命题为________________ .(写出所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c0935ed5f2d2512f53eb09df579368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b4dfebd3972ff16ebe879914b76291.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a561552fc52b697f1a7f1c81c2f637.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
其中正确的命题为
您最近一年使用:0次