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己知数列eqId93e38ecd74a24cb59da79181b95bfd3a,首项eqId032284ef281340a78dbf643944ff8cd4,设该数列的前eqIdf458db68122849abb588feb2e682d9ac项的和为eqIddb5481de79c946c0a760143297d5eade,且eqIdcd59030cec194336af315864e0650637
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)若数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63满足eqId683402617b6d4cfe8b3d55407d6fc632,求数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(3)在第(2)小题的条件下,令eqId12e4133b6adb4e728a616d28e9e47d24eqId92ed363a54bd4a8a93df9463bb3af1f5是数列eqId74ef5fe5183946caaee41d8974816a20的前eqIdf458db68122849abb588feb2e682d9ac项和,若对eqId6c2146ec6df54fc9af9b2aef04489c8beqId93e9a4087eac4b0eadbf437e5b7ab9ac恒成立,求eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
更新:2019/12/10难度系数:0.65题型:解答题组卷:1次
已知等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eadeeqIdaaed9c23df1a4501ac2b93dc3b2a939e,则eqId1a98035dcce642de9748cd86685de81b__________.
更新:2019/12/10难度系数:0.94题型:填空题组卷:1次
已知正项数列{an}的前n项和Sn满足2Sn=an2+an-2.
(1)求数列{an}的通项公式;
(2)若bn=eqId1e3e1ad38a42425eb529ec10fe09ef81nN*),求数列{bn}的前n项和Tn
(3)是否存在实数λ使得Tn+2>λ•SnnN+恒成立,若存在,求实数λ的取值范围,若不存在说明理由.
更新:2019/12/10难度系数:0.65题型:解答题组卷:2次
已知等差数列{an}中,前mm为奇数)项的和为77,其中偶数项之和为33,且a1-am=18,则数列{an}的通项公式为an= ______ .
更新:2019/12/10难度系数:0.65题型:填空题组卷:4次
等差数列前eqId0c243e5dded24989821daf9bef2676a6项的和为eqId4be5d6fb111d41b6bea6fee2dab7bb96,前eqIda5d0fc594d4048549d5bbda484fbecc8项(eqId814666606294419bb4f5b98c8af48431)的和为eqId02288b8c3d2b4b4aa070cb9a4c2c3e69,则该数列前eqId9a8a9e8cdd154fa599c6b1e25642f170项的和为(   )
A.eqId9a8a9e8cdd154fa599c6b1e25642f170B.eqIdf67bec4948394eec99830405c53a076aC.eqId455fb87ea93c419cadb009be6148190cD.eqId8d48950dbc6b4880a4a9fd60a72c6f0f
更新:2019/12/10难度系数:0.65题型:单选题组卷:6次
已知数列eqId6f67e6aefc7c4c419c7aeeb0a40e23f9都是由实数组成的无穷数列.
(1)若eqId6f67e6aefc7c4c419c7aeeb0a40e23f9都是等差数列,判断数列eqId7463ac5c573d4f0fb0aa7dcc4e8eb2f4是否是等差数列,说明理由;
(2)若eqIdd9b7b88245864c2b8c6c3b56e8ba7bcb,且eqId7463ac5c573d4f0fb0aa7dcc4e8eb2f4是等比数列,求eqId4d2187284c5d4de29906363f7d21f60f的所有可能值;
(3)若eqId6f67e6aefc7c4c419c7aeeb0a40e23f9都是等差数列,数列eqId74ef5fe5183946caaee41d8974816a20满足eqIdb603512233f441e6b21d92dd97c3c7c6,求证: eqId74ef5fe5183946caaee41d8974816a20是等差数列的充要条件是: eqId6f67e6aefc7c4c419c7aeeb0a40e23f9中至少有一个是常数.
更新:2019/12/10难度系数:0.65题型:解答题组卷:0次
数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqIddcf7ad6851d7478b9753774e63ff4e0e,并且eqIdd6d1888df74248248da2521b3caf2e9d,则数列的第100项为________.
更新:2019/12/10难度系数:0.85题型:填空题组卷:8次
已知eqId93e38ecd74a24cb59da79181b95bfd3a为等差数列,其前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eadeeqIdeeb4ca98872f4e6d91cea28f43fc0b63是首项为2且单调递增的等比数列,其前eqIdf458db68122849abb588feb2e682d9ac项和为eqId92ed363a54bd4a8a93df9463bb3af1f5eqId267a76b9f3ca4fbcb9ccedd1b1a87760eqIdca162d654a0347b3ba25d2edf12e30b7eqIdc885f77329aa46d2897dba87ed840501.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(2)设eqId3d74ca115e714360ac5c7e1125c7b76aeqIdd43ad1b329a9493fa22fddee70b4179f,求数列eqIdc5161a31d60941b782d12b9f2224a70c的前eqIdf458db68122849abb588feb2e682d9ac项和eqId48a098e3157a43eb8a6f0211a1ccca20
更新:2019/12/10难度系数:0.94题型:解答题组卷:25次
已知eqId77b3f6b9955e499dbdab033a38779496eqIdba604d090ebf41089ae330e1202c48b3,则eqId2c1230a9ef5a4968be599681d676dd2b的通项公式为________
更新:2019/12/9难度系数:0.65题型:填空题组卷:30次
数列eqId2c1230a9ef5a4968be599681d676dd2b满足eqId47bd739fe6d74617a671e684ee8efb33,且eqIdec2c9f50896d49b3ba6f10a9746b0500,若eqId430af0a1fc4d48c993d4f69d62eea3d3,则正整数eqIdf3ccc5889ff44339b4e5a8c578f48e0e________
更新:2019/12/9难度系数:0.85题型:填空题组卷:14次
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