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1 . 斐波那契数列,指的是这样一个数列:1,1,2,3,5,8,13,21,34,55,89,…,在数学上,斐波那契数列
定义为
,
,
,斐波那契数列有种看起来很神奇的巧合,如根据
可得:
,所以![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4514666ccdc30cc411302248dd8ea38c.png)
,类比这种方法,请计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42854791abd2a6553679f821ccb46c68.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b3fee34c85365527d44acf0d8b0c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b3fee34c85365527d44acf0d8b0c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be5b32f90ebc14fdf6a969fa3f22ef40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4514666ccdc30cc411302248dd8ea38c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383d7abb8088f3e9dc959df73851b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42854791abd2a6553679f821ccb46c68.png)
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2021-01-23更新
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2卷引用:黑龙江省嫩江市高级中学2020-2021学年高三上学期12月月考数学(文)试题