1 . 已知
,
,…,
,
,
,…,
(
是正整数),令
,
,…,
.某人用下图分析得到恒等式:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/91207604-3bbc-483a-9f67-8d41d79d3c8f.png?resizew=253)
,这个恒等式称为分部求和公式,也称阿贝尔变换.(注:阿贝尔(1802年8月5日—1829年4月6日))(挪威数学家)则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d08d9997a9c6a67fce7e638eb6954bb.png)
______ (
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e2e3774d052b756f21238b745c3227c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcacd901418a95ec2b17a25184b10f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5b1bd9826dd75e374772e9ac075b6e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/91207604-3bbc-483a-9f67-8d41d79d3c8f.png?resizew=253)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c2b8126dd0a2cba29722cf577524f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d08d9997a9c6a67fce7e638eb6954bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4135ae310b5e3475bb86b4d78fbfc4a9.png)
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2020-07-07更新
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2卷引用:辽宁省锦州市黑山县黑山中学2020届高三6月模拟考试数学(文)试题