题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063738-25964.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063739-72967.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063739-43419.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063739-68096.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063739-26600.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063739-30354.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063740-81935.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063738-25964.gif)
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063739-26600.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063739-30354.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063740-37537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063740-12631.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063740-60336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063741-18945.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063741-60484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063741-36207.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063741-78951.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063742-57123.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063742-65718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063742-13280.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063742-67335.gif)
∴自第22项起,每三个相邻的项周期地取值1,1,0,故
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063740-81935.gif)
(2)首先证明数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063738-25964.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063738-25964.gif)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063739-68096.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063742-77581.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063743-31505.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063743-63812.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063743-14611.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063742-77581.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063743-74217.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063744-93659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063742-77581.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063744-45578.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063744-21109.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063744-51640.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063745-70625.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063745-42399.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063745-43252.gif)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063745-16920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063746-58363.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063746-16219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063738-25964.gif)
若第一次出现的零项为
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063744-51640.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063746-50339.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063746-26460.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063746-32820.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063747-70693.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063747-98395.gif)
所以数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063738-25964.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063724-39907.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063725-46258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063725-67614.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063725-52440.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063725-57547.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063725-86142.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063726-14022.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063726-11387.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063726-81940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063718-80230.gif)
(I)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063718-30187.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063718-26473.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063707-57476.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063707-30172.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063707-57476.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063707-71836.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063707-31000.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063708-91136.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063708-37326.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063707-57476.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063708-48968.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063708-61617.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063707-71836.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063708-43447.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063647-43586.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063647-92365.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063647-61210.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063648-42796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063648-20192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063647-43586.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063648-99000.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063647-61210.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063648-23017.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063649-52202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063649-63443.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063649-87092.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063649-87092.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063649-94422.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063647-61210.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063650-11353.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063650-52276.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063650-64161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063650-12661.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063650-64161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063636-21901.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063637-68578.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063637-11695.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063637-87456.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063637-80619.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063637-30693.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063638-24329.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063637-80619.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063638-54236.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063638-57865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063638-36557.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063639-54526.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063639-84998.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013063639-35904.gif)
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