解题方法
1 . 等差数列
的前
项和为
,已知
,则
的前100项中,
为整数的各项之和为( )
![](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/7d74645961fc55170556150480f59b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
A.1089 | B.1099 | C.1156 | D.1166 |
您最近一年使用:0次
名校
解题方法
2 . 已知等差数列
的前
项和为
,公比
的等比数列
的前
项和为
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08db26d2b6f6882cc6ec1eddcea0ac13.png)
(1)若
,求数列
的通项公式;
(2)若
,求
![](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/f71acdb04454c77e1e25ad4f336cccfe.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08db26d2b6f6882cc6ec1eddcea0ac13.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5c41548af6adf71902f7b4c7a0c2b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bb8904fdf703ef5cc51db855bcd03d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
您最近一年使用:0次
2023-09-17更新
|
315次组卷
|
2卷引用:海南省定安县定安中学2024届高三上学期开学考试数学试题
3 . 在等比数列
中,
,
,在等差数列
中,
,
.
(1)求数列
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c94d16a42424d49917e877e09649e9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a57ab3b3fe2939c48d32df846e689c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195431ccf2756a0db26f14b7b91a32a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb268d73fafc7547182036d12625a24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caef1487c1d39c0ff9331445eb6d0482.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195431ccf2756a0db26f14b7b91a32a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2022-10-24更新
|
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2卷引用:海南省三亚华侨学校南新校区2023届高三上学期开学摸底考试数学试题
名校
解题方法
4 . 已知数列
的首项为1,满足
,且
,
,1成等差数列.
(1)求
的通项公式;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a64135412e48c1164a2c60042c80c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4fc983acad74f5cf3d4168edac85b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e503e95b7980f0bc00f99163be194f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c57511234ca14acc3495f189c0742c1.png)
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2022-08-27更新
|
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5卷引用:海南省海口中学2023届高三上学期9月摸底考试数学试题
5 . 已知等差数列
的前n项和为
,数列
是等比数列,
,
,
,
.
(1)求数列
和
的通项公式;
(2)若
,设数列
的前n项和为
,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7306abf622a316800e4c5cae9190a7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd59c522b56d8a8519ec6c330707e01.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a7b7507f9e99db51400dc2e9ef00e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b647ac8a8174071a4f332a00b5507b.png)
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2022-05-20更新
|
683次组卷
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3卷引用:海南省海口市秀英区海口嘉勋高级中学2024届高三上学期开学考试数学试题
海南省海口市秀英区海口嘉勋高级中学2024届高三上学期开学考试数学试题海南省琼海市2022届高三高考模拟考试(三模)数学试题(已下线)专题20 数列综合(讲义)-2023年高考数学一轮复习精讲精练宝典(新高考专用)
名校
解题方法
6 . 已知等差数列
中,公差
.求:
(1)
的值;
(2)该数列的前5项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d67b34c1a83d4b78f51a16740c70dbde.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eedd5b5ba81010aa9f45afbe62fa77e.png)
(2)该数列的前5项和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27182444d3da4003680f07ec299087c.png)
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2021-10-08更新
|
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6卷引用:海南省三亚华侨学校(南新校区)2020-2021学年高二下学期开学考试数学试题
名校
7 . 在各项均不相等的等差数列
中,
,且
,
,
成等比数列,数列
的前n项和
.
(1)求数列
、
的通项公式;
(2)设
,求数列
的前n项和
.
![](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/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3bc907fe03ad648a78548de36bcc6c.png)
(1)求数列
![](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/cf6422bdfc5a97966bbc71ef2fcc2c96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2019-11-21更新
|
1683次组卷
|
15卷引用:海南省三亚华侨学校(南新校区)2020-2021学年高二下学期开学考试数学试题
海南省三亚华侨学校(南新校区)2020-2021学年高二下学期开学考试数学试题2020届海南省海口市海南中学高三第七次月考(3.8)数学试题四川省绵阳市2019-2020学年高三上学期第一次诊断性考试数学(文)试题2020届山东省临沂市临沭县高三上学期期末数学试题2020届山东省潍坊市临朐县高三综合模拟考试数学试题(二)甘肃省张掖市第二中学2019-2020学年高二4月线上测试数学(理)试卷安徽省蚌埠市第三中学2019-2020学年高一下学期5月月考数学试题福建省泉州市永春二中、永春六中2021届高三第三次联考数学试题山西省太原市第五中学2022届高三上学期9月月考数学(文)试题福建省永春第六中学2022届高三上学期第一次月考数学试题河南原阳县第三高级中学2020-2021学年高二第一学期第一次月考数学试题广东省广州市禺山高级中学2021-2022学年高二下学期期中联考数学试题福建省龙岩市上杭县第五中学2022届高三上学期12月月考数学试题河南省驻马店市新蔡县第一高级中学2021-2022学年高二上学期10月半月考数学试题重庆市渝北中学2024届高三上学期10月月考数学试题
8 . 已知公差不为零的等差数列
的前
项和为
,
,且
成等比数列.
(1)求数列
的通项公式;
(2)若
,数列
的前
项和为
,求
.
![](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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcd9a1492c60152f2e32604cd519e72.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b917c456fe50eb3a588765bbeef0528.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2017-09-02更新
|
1385次组卷
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8卷引用:海南省(海南中学、文昌中学、海口市第一中学、农垦中学)等八校2018届高三上学期新起点联盟考试数学(文)试题