题目
题型:不详难度:来源:
记等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033814-12054.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033814-44194.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033814-18657.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033814-12054.gif)
(Ⅱ)令
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033815-24267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033815-18305.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033815-74511.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033815-55482.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033815-46970.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033816-71882.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033816-38415.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033814-18657.gif)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033816-32510.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033816-16383.gif)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033817-45431.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033817-19615.gif)
故所求等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033816-38415.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033815-46970.gif)
(Ⅱ)依题意,
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033817-35280.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033817-20989.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033817-38488.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033818-91171.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033818-10222.gif)
两式相减得
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033818-99992.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033818-66898.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033818-12545.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033816-71882.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033739-26981.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033740-61975.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033740-96405.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033740-96277.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033734-69896.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033734-97602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033735-28259.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033735-85554.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033735-87635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033735-75304.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033736-91959.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033736-56879.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033736-91959.gif)
已知等比数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033656-48579.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033656-93269.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033656-25805.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033657-28528.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033657-62298.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033657-44179.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033657-18332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033657-91068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033658-78246.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033658-17244.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033658-12107.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033656-48579.gif)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033658-29027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033659-24987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033659-54942.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033633-87122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033633-46036.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033633-46532.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033633-34113.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033633-34676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033634-62761.gif)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033634-45633.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033634-79552.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033634-60259.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033634-28730.jpg)
已知数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033627-88461.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033627-50127.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033627-83306.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033628-96936.gif)
若它的第
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033628-77426.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033628-81237.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013033628-13610.gif)
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