1 . ①已知数列{
}是递增的等差数列,它的前三项和为9,前三项的积为15.
②已知正项数列{
}的首项
,当n≥2时,有
.
③已知函数
,把方程
的正数解从小到大依次排一列,得到数列{
},n∈N*.
请从以上三个条件中任选一个,完成下列问题.
(1)求数列{
}的通项公式.
(2)记
,设数列{
}的前n项和为Tn,求证:
.
(注:若选择多个条件作答,则按第一个解答计分)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
②已知正项数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a413796d8e24d41e48ffb6c706a946d6.png)
③已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89556673cb92c044a892f3fbf79f0a6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb15b0bd482fe04e93a32b3930a0c4aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
请从以上三个条件中任选一个,完成下列问题.
(1)求数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efe30d41a6eac4d58312aa39d9c70a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e672c3d231081d12e44a4211e5ac60bf.png)
(注:若选择多个条件作答,则按第一个解答计分)
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