已知数列
的前
项和为
,且满足
,数列
满足
且
.
(1)求证:数列
成等差数列,并求
和
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24479154bd9f4a9b7c23695d91248d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b78c4d4edba1ba312a4c6e00125cca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f997e6d483c0d0990cb550bbde39fa9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598955202d1ce7be5b74eac7ef558cb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
2021·江苏·模拟预测 查看更多[3]
江苏省姜堰中学、如东中学、沭阳如东中学2021届高三下学期5月适应性联考数学试题(已下线)一轮复习大题专练29—数列(错位相减求和)-2022届高三数学一轮复习(已下线)专题7.19 数列大题(错位相减求和2)-2022届高三数学一轮复习精讲精练
更新时间:2021-05-31 07:04:09
|
相似题推荐
【推荐1】已知数列满足
,
.
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03548afaef0a2539d253710ad1510a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e191086446263b7bbbd93613577c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11bc21cead06fe592999d0d5a4efcf2.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】已知数列
的各项均为正数,且
,正项等比数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(2)若
为数列
的前
项和,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e326eba6b1f6d7b7e5fd571d01deb858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0bc65780867c696bf563b3129a8d6b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6dcba920904a03e3f950e962cc8c7ad.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e74f4983d2dece02cb9f87f1f3cf83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
解答题
|
适中
(0.65)
名校
【推荐1】设数列
是各项均为正数的等比数列,其前
项和为
,且
.
(1)求数列
的通项公式;
(2)设有正整数
,使得
成等差数列,求
的值;
(3)设
,对于给定的
,求三个数
经适当排序后能构成等差数列的充要条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec9bda0ed3bf0b44bc9a578d240d54a.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设有正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbdf0898df97694c850d3f32c93b291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1e00456d6774dd3a49768a9ba36467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b30b3a9e58846c80f3750b4bacd35ea.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ef8ba3b1833f7fdba4b35fc2f6db92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d73e61c0385178be99462dd58e7a7b.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐2】已知数列
的前
项和
,其中
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)若
(
)为等比数列
的前三项,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/201c985aeb7a5c440bee38f1f8b8e460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/335112fe8b0738341b7622375af07415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
【推荐1】已知数列
,
,
为数列
的前
项和,
,
,
.
(1)求数列
的通项公式;
(2)证明
为等差数列;
(3)若数列
的通项公式为
,令
为
的前
项和,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e78f07af568e395269122824300b039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8370a173854471a3eb27637993a3d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d732c8f71a0f501b44cec7f2a577efe5.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d8b396920ca24b49c1ffa9ee322a5a.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa8d59a030e0a53ff4a434921de7dc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
您最近一年使用:0次
【推荐2】点
(
)在函数
图象上.数列{
}满足
.
(1)证明:数列{
}为等差数列.
(2)数列{
}满足
.求
为{
}前n项和及当
,求n的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa8079a4e15fdfe22c47c8d26622ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c39b984e70553acb2da1012e26ba36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9db708083e0c5ae51ee6e874b6a906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e191086446263b7bbbd93613577c42.png)
(1)证明:数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
(2)数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ef183ebb6d77ae395ad67610ae8fd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1812a939ac52ffa7798157d8f94547f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a637c73c745dcdd565090bba98d6f8af.png)
您最近一年使用:0次