组卷网>知识点选题>累加法求数列通项
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| 共计 517 道试题
单选题 | 一般(0.65) | 2021·江西高一期末(理)
1 . 已知数列eqId054d5a7de5684002909fe944c86227c2满足eqIdb70642775668423496354b29d8badeb0eqIddb5481de79c946c0a760143297d5eade是数列eqId054d5a7de5684002909fe944c86227c2的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和,则(   )
A.eqId487728b8e36041c3aa969bf673efa750不是定值,eqId6a597011835f456a921352dbd70635b4是定值
B.eqId487728b8e36041c3aa969bf673efa750不是定值,eqId6a597011835f456a921352dbd70635b4不是定值
C.eqId487728b8e36041c3aa969bf673efa750是定值,eqId6a597011835f456a921352dbd70635b4不是定值
D.eqId487728b8e36041c3aa969bf673efa750是定值,eqId6a597011835f456a921352dbd70635b4是定值
2 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eade,且满足eqId36b89dbe737e404788c41b35b1abf6b3eqIddc20157676404c5aaa9c0428dda247d2,其中eqId6fc94f6e181444c6b809fb393eb8fae6
(1)若eqIdd5a6569623204652aada8c497a766e0a,求eqIdef9cef8e6d054d8dac46b8cde14953ad
(2)是否存在实数eqIda9cd3f94eb8045438f75e9daccfa7200eqId072d7d6b911b42bc89207e72515ebf5f使eqIdfc84862e69d44e89bff7695300221de3为等比数列?若存在,求出eqIddb5481de79c946c0a760143297d5eade;若不存在,请说明理由.
填空题 | 容易(0.94) | 2021·河南开封市·高二期末(文)
3 . 在数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdc2d3271b09324d98954c33293515c0e9eqId08a78c107a6e4ef3baf04b53518013f7,则eqIdc08541c51e3f496fb56d8c679cc8078d_______.
单选题 | 较易(0.85) | 2022·全国高三专题练习
4 . 已知数列eqId2c1230a9ef5a4968be599681d676dd2b满足eqIda4922045267b41bc9a3bb1464e1f0b93eqId77b3f6b9955e499dbdab033a38779496,数列eqIda0db2906046940e19de8782f94f34137满足eqId46d68f4e66cf4136891c86d837a74e34eqIdef2fbb69b27e49e6b51ccf68ffb6e60f,则eqIdcd8488c440e741abb7d846f8392e03d7(   )
A.64B.81C.80D.82
更新:2021/08/01组卷:0
填空题 | 一般(0.65) | 2021·河南开封市·高二期末(理)
5 . 在数列eqId93e38ecd74a24cb59da79181b95bfd3aeqId77b3f6b9955e499dbdab033a38779496eqId0623a7e6512b4a0b99d8c0d1f80bf9e3,则eqIda2a13ecc11fb44479016694b051621f4_______
解答题 | 较易(0.85) | 2021·全国高二专题练习
6 . 已知数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63满足eqIdeebd114eb95941608949804be62c144eeqId6a4baab2e99346f49525fc313c2eac56.求数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式.
更新:2021/07/31组卷:0
解答题 | 一般(0.65) | 2022·全国高三专题练习
7 . 已知数列eqId2c1230a9ef5a4968be599681d676dd2b满足eqId77b3f6b9955e499dbdab033a38779496eqIdc60df934817a48528e3bd750cf12052aeqId1602afc6441f4b6a9b7f89d8a2a24771
(1)证明:数列eqId4bba030c756946fa915659693bb87c5d是等比数列,并求eqId2c1230a9ef5a4968be599681d676dd2b通项公式;
(2)在eqIdef9cef8e6d054d8dac46b8cde14953adeqId9c34915c981b4f0e8587a8d431f28ad5之间插入eqId5f904d1376ac4de7a7d6cfea92ff6981个数,使得包括eqIdef9cef8e6d054d8dac46b8cde14953adeqId9c34915c981b4f0e8587a8d431f28ad5在内的这eqIdfe9bd6b8d43943f8a5db35b957a20ca2个数成等差数列,设其公差为eqIdcfa49bae8b96439298a2685262861a80,求eqId70b377dc747b448eaa123bf0aa0d75b7的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqId92ed363a54bd4a8a93df9463bb3af1f5
更新:2021/07/31组卷:0
解答题 | 较难(0.4) | 2022·全国高三专题练习
8 . 已知在数列eqId2c1230a9ef5a4968be599681d676dd2b中,eqId681ee32b0980433e94ff5b7e029a5760eqIdd645cfe03ee6489f92e9de7c4e080000
(1)求数列eqId2c1230a9ef5a4968be599681d676dd2b的通项公式;
(2)求数列eqId557ea12e42754a21bc975f7945239cfb的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqIddb5481de79c946c0a760143297d5eade
更新:2021/07/31组卷:0
9 . 数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eade,且eqIdacaae794b23b4ca08f5c21ff953dde28
(1)求eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式eqIdef9cef8e6d054d8dac46b8cde14953ad
(2)若数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63满足eqId19ab71c335e240d08eabfce4963b1329eqId7d4b353d04d64315b709fbb9768a1b60)且eqId959491aeb904476a95ef9d7c0df1cca0,求eqId526e2cb015114012b3b02044cf0eab48的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqId92ed363a54bd4a8a93df9463bb3af1f5
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