组卷网>知识点选题>等差中项法判断等差数列
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填空题 | 较易(0.85) | 2021·全国高二专题练习
1 . 已知数列eqId13eb2908e50945b5802917d3108bb405满足eqId380b3b838dc94a71818be706ffa332b1,且eqId50ca6d4963fc45e99a0f6d08dfb3a2b1,则eqId0926f6c8f74748d784074f0759f0f374等于__________.
更新:2021/08/01组卷:0
解答题 | 一般(0.65) | 2022·全国高三专题练习
2 . 已知数列eqId2c1230a9ef5a4968be599681d676dd2b满足eqIdef51378d6b3048fc94aece7f1b93e1afeqIdbac23d95cb114ad78dd22a804f850301eqIdfee69e6fc77d48fd9e395a5e9a4626f8eqIdd0a45e4ebd1243f298ffd406dc69f625,数列eqIda0db2906046940e19de8782f94f34137满足eqId46d68f4e66cf4136891c86d837a74e34eqId2dac49d6698d418db4e710815de0a9b8
(1)求数列eqId2c1230a9ef5a4968be599681d676dd2b的通项公式;
(2)求数列eqId362616e24ce64f48821d5a03cbd779ae的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqIddb5481de79c946c0a760143297d5eade
更新:2021/07/31组卷:19
单选题 | 较易(0.85) |
3 . 设数列eqId2c1230a9ef5a4968be599681d676dd2b的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eade,若eqId597bbeb7f0574745a388e2eab62a9024时,eqIdeff84a5d38b34b6cb1ff3d6f7ec6b990,且eqId94c5581116c6473db910345f8c1c6716,则满足eqId0f18635b1a8044d3baad895c98d5054c(eqId597bbeb7f0574745a388e2eab62a9024)的正整数eqId5f904d1376ac4de7a7d6cfea92ff6981的值为(   )
A.eqIddd4bf187d3fd47f6bcc24e568e09643eB.eqIdecb828cf922546bb9760e0ce5c95a9cbC.eqId401586f7a7f248b7904a4cfeaa2ed2f0D.eqId16fc2c4ac7e940cdad49c4a01d735579
更新:2021/07/29组卷:56
填空题 | 较易(0.85) | 2021·重庆南开中学高三月考
4 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a对任意正整数n均有eqId09240dc9f4a0455a949d07cec322bbb2成立,且前n项和eqIddb5481de79c946c0a760143297d5eade满足eqId04228919219243c1bee59e2cafdcaa30,则eqIdec15b069a63a4c5fb3a6606336bb1b1a______.
5 . 已知数列eqId054d5a7de5684002909fe944c86227c2中,eqId335b4a72b64b40d6ab63a3fa90c6cfa6eqId59e976177f3c47ea8dde7a7e24534261eqId5eb350cb506b4a9b8655c508e6a4e4a2.
(1)证明eqId9298551d0d014decb4b5607ba08cce1d为等差数列并求eqId6be932a5bf5f4bb8bef8452d83d1842b
(2)求数列eqId0fbf9e89695a4e8c9bf372c51681284c的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqIddb5481de79c946c0a760143297d5eade.
填空题 | 较难(0.4) | 2021·北京二十中高二期末
6 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId1879cbf009ba404bb864d9262b2df31e,下列说法正确的是________
eqIda28f10cdb3354ba6bfeef7adaf0812fa
eqId7e8219eea2064593ac76bdae1105fc94都是整数;
eqId0e2afffa1fd4426eb34a40f9abf9e7b8成等差数列;
eqId8f2ae931910543538ed886ba2cfea0a7
7 . 已知等比数列eqId93e38ecd74a24cb59da79181b95bfd3a的公比为2,且eqIde0b0a69153d74086acac0f2b28878deceqIdb4aa91aee192410597d5316dcc614deeeqIdc76fa52010534e50926a7629658fd2b3成等差数列,则下列命题正确的是(   )
A.eqIdc3be4b46459d49208a7b198d5e95d0bfB.eqId0509add794484602a2c710f41d9ddddceqId5cae532f2168495188622189ec8df62ceqIdfcf863eb04e44bac8b2e8780e475badb成等差数列
C.eqIda7a6838a24d649c293044401cc655da5是等比数列;D.eqId5e96224a741b4e178ceeca35fc5bae1eeqId5f904d1376ac4de7a7d6cfea92ff6981eqId78a202771493443ba0a79a9c3ac7674feqId89f245dd67f34e3093c65087a95ebf21eqIdef9cef8e6d054d8dac46b8cde14953adeqId75dac18ccc8e48248fed2f733c3db160成等差数列
8 . 已知数列eqId2c1230a9ef5a4968be599681d676dd2b的前n项和为eqIddb5481de79c946c0a760143297d5eadeeqId26f9bfb0018f4b2f801e2d672bafc2ceeqId756ec9dd7aea4c0ea6d87546bae3426e.
(1)求数列eqId2c1230a9ef5a4968be599681d676dd2b的通项公式;
(2)对任意eqId71f7d22ebac349c391d5441916c5c790,将数列eqId2c1230a9ef5a4968be599681d676dd2b中落入区间eqId7331af64e4b0441da24c2b0c3c39978c内的项的个数记为eqIdbff4c9a923eb4b9f91eb264be10fe4b4,求数列eqId4028d7cf5a2e45a087f5b7f855762624的前m项和eqId49a7e297dc5c4dd78667f0324cff9d63.
解答题 | 较易(0.85) | 2021·河北高三月考
9 . 在正项数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId77b3f6b9955e499dbdab033a38779496eqIdc1e4d301eec54450bd5d8b768691ec82,且eqIdb73ecc0c51a5451792c306065e0fbeac.
(1)求eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)求数列eqIdcfa16c838d614a5a9f3a464acbae3c00的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqIddb5481de79c946c0a760143297d5eade.
10 . 在等比数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId6a66565cb50049aa9ca1ffd617abe7a3,则下列结论一定成立的是(   )
A.eqId323e7557fb3c4e98a24ed75deefbc981eqIda74bbc841dd34d6ea053b4a5f9369767eqId90ed2877301345aaa59fe93006f4b30f成等比数列B.eqId0509add794484602a2c710f41d9ddddceqIdeb24b9172c83447ca3af28cec30a0528eqIde1a9c212ab074a5fb729394ac0c89e76成等比数列
C.eqId568e4700ec474221acd0fe48e6840910eqIddcc74d2481d24f31b8e0c276bf66bdeeeqId3f4ddf8d51e642c4ade8621cc3bd4ab3成等差数列D.eqId5da529c73b7e42d2ba057ef94c99ddb8eqId3132e1d1186447d2bb892810b5efb8d8eqId108a9e258787476aa441640a51542387成等差数列
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