组卷网>知识点选题>前n项和法判断等比数列
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多选题 | 一般(0.65) | 2022·全国高三专题练习
1 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eade,下列说法正确的是(   )
A.若eqId7ab8bbc05abf48d2a1ae12f212fba884,则eqId93e38ecd74a24cb59da79181b95bfd3a是等差数列
B.若eqIdcaf5d4fb02c34b2eaee0641499114e44,则eqId93e38ecd74a24cb59da79181b95bfd3a是等比数列
C.若eqId93e38ecd74a24cb59da79181b95bfd3a是等差数列,则eqId1643644c71d94e83b60f42a9528e9d22
D.若eqId93e38ecd74a24cb59da79181b95bfd3a是等比数列,且eqId6a66565cb50049aa9ca1ffd617abe7a3eqIdcf86a3efea6a4f738de6634cd0fe6ad3,则eqId5120239ca7bc48a5901fbadfdb6e5134
解答题 | 较易(0.85) | 2021·江苏南京一中
2 . 已知数列eqId1af744a2fbed45a19be92f9023133ae6的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eade,且eqIdc2d3271b09324d98954c33293515c0e9eqIdf09a6557d2914b1fa19eba3f9450c9a7eqId6c2146ec6df54fc9af9b2aef04489c8b,在公差不为0的等差数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63eqId252808ded0ce4122b39a16a5bf0488e6eqId91527d9f559f45afb12460e0c2e33b6feqId802dd8e915624120aa727fb9b14978b0eqId0dc10ed0670c4ac6846001d46710356a成等比数列.
(1)求数列eqId1af744a2fbed45a19be92f9023133ae6eqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(2)记eqId1e78db1a6953470f9e27caa157778525,求eqId74ef5fe5183946caaee41d8974816a20的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqId92ed363a54bd4a8a93df9463bb3af1f5
多选题 | 较易(0.85) | 2021·全国高三专题练习
3 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eade,下列说法正确的是(   )
A.若eqId7ab8bbc05abf48d2a1ae12f212fba884,则eqId93e38ecd74a24cb59da79181b95bfd3a是等差数列
B.若eqIdcaf5d4fb02c34b2eaee0641499114e44,则eqId93e38ecd74a24cb59da79181b95bfd3a是等比数列
C.若eqId93e38ecd74a24cb59da79181b95bfd3a是等差数列,则eqId1643644c71d94e83b60f42a9528e9d22
D.若eqId93e38ecd74a24cb59da79181b95bfd3a是等比数列,且eqId6a66565cb50049aa9ca1ffd617abe7a3eqIdcf86a3efea6a4f738de6634cd0fe6ad3,则eqId3bb9bc4cd01e42e2a99d52c54c58f62c
更新:2021/07/29组卷:131
单选题 | 一般(0.65) | 2022·全国高三专题练习(文)
5 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eade,前eqId5f904d1376ac4de7a7d6cfea92ff6981项积为eqId92ed363a54bd4a8a93df9463bb3af1f5,且eqId681ee32b0980433e94ff5b7e029a5760eqId41bc8adc535f4c8496ae7b7bcdc7b9d6.若eqId70c4f069ba4948b8b6c744df839770ae,则数列eqId526e2cb015114012b3b02044cf0eab48的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqId174d58136ce34b5089892e7bb0dd4004为(   )
A.eqId4b5d2e0d0d0f46f6b62639079521676cB.eqId8e55c7048490464fb8985ac5a9e9e92aC.eqIdce4ea3f61d6d4db1a03c11f7e1c3e293D.eqIdf8331214f49445de99880e6b9f89baa8
填空题 | 一般(0.65) | 2021·四川攀枝花·高三(理)
6 . 已知等比数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eade,且eqId82b3a8b30e704be2905327fabe09cab7,则eqIdb5d7bb188def48d08a0bc83e6d82c0e2的最大值为________.
7 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eade,且6,eqId8739fd6ce1fa42f28e941298e26be1adeqIdef9cef8e6d054d8dac46b8cde14953ad成等差数列.
(1)求eqIdef9cef8e6d054d8dac46b8cde14953ad
(2)是否存在eqId71f7d22ebac349c391d5441916c5c790,使得eqIdd10f4b5954584f58903bad064069f431对任意eqId532dc4d959024b79b546428f5856e5aa成立?若存在,求m的所有取值;否则,请说明理由.
单选题 | 一般(0.65) | 2021·安徽池州·(理)
8 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a为等比数列,其前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eade,且eqId653a59b7b34448abbf741a921deb421b,则eqId783c5f01aa1e49b29f88c27d2eca4354(   )
A.eqId1d18010fc29e4f45abaaece953793246B.eqId8f65c930571d4ff6aa6a50029d46826eC.eqId37705e1ef6a84bbdbe88433e75932cdfD.eqIdbeffaaf8d5cd43cf8375210d69fce6be
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填空题 | 一般(0.65) | 2021·河北保定·
9 . 设数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eade,若eqId3c9e185876ab4fb98cf9604846c655beeqId05aa8fc358594c27be5865cca4a521c3,数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqId92ed363a54bd4a8a93df9463bb3af1f5,则eqIda612b31fd1fe4a038dfc80f403426c34______
10 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eadeeqId74389de4e59f4813a47facccb06fa355
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)用eqIdad4e537e4bc14f01866a4310e48e96d7表示不小于实数eqIda9cd3f94eb8045438f75e9daccfa7200的最小整数,例如eqIddc344e372d3745328ffc58782e554a1deqId1809a350a78d4cb2a7f503cb2d19df17eqId244456b9ae164a73afc1c805fa7b9458.设eqId5d4b769f0b9541c7b1d4caaa8bfea46f,求数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqId92ed363a54bd4a8a93df9463bb3af1f5