在等差数列
中,若正整数
满足
,则
.类比这一结论写出在等比数列
的一个相应结论:若
,则_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8904800143a9547ba8add1c3d4707385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb679318d0c9819b82e51a1750b502a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095397b70a73758437ba2198b61fd79b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb679318d0c9819b82e51a1750b502a.png)
更新时间:2020-06-11 12:49:32
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【知识点】 等差、等比数列中的类比推理解读
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【推荐1】设等差数列{an}的前n项和为 Sn,则 S4,S8-S4,S12-S8,S16-S12成等差数列.类比以上结论我们可以得到一个真命题为:设等比数列{bn}的前n项积为Tn,则______________ 成等比数列.
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【推荐2】已知命题:“若数列
为等差数列,且
,
(
,
、
),则
”;现已知等比数列
(
,
),
,
(
,
、
),若类比上述结论,则可得到![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63daaf00beb661a7cac39dbb9d1956e7.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e65eeece715981310019bd85fece6bd.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0dd3fb6af23def773e1b0032a4f3c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faa56d3254c22f7b6e8b21a66e2426c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2a702fd412d814c7dd6b58183f21fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d9712c3b25f3030e166e136d3a4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63daaf00beb661a7cac39dbb9d1956e7.png)
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