1 . 已知集合
,定义:当
时,把集合
中所有的数从小到大排列成数列
,数列
的前
项和为
.例如:
时,
,
.
(1)写出
,并求
;
(2)判断88是否为数列
中的项.若是,求出是第几项;若不是,请说明理由;
(3)若2024是数列
中的某一项
,求
及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc6c83969f0c67473049709952b50e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d47710bdf547780bc9c29c42423cce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b33a624f32310f1ef43686ea593ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b33a624f32310f1ef43686ea593ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bd390fa43014ff48549a6ca941d38c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2046390ed7657e860458b026a4ced115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ac0dba37b8eb22670b24c350af0b54.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ae09a97dd40d6b317a448664bf3816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5f4584826926dbc15fae9fb75d36ec.png)
(2)判断88是否为数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59038077a6db85e9b790b14eecf717a.png)
(3)若2024是数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b33a624f32310f1ef43686ea593ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1180a64221e78248cb691ecc21ec18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e05ea594b5b86bcbbad940b46000f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9c79f3f90e6ed44e479b2e4ff16f05.png)
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2024-04-17更新
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