组卷网>高中数学综合库>数列>等差数列>等差数列及其通项公式>由递推关系证明数列是等差数列
题型:解答题 难度:0.65 引用次数:267 更新时间:2021/5/7 15:36:19 题号:12867891

类题推荐

解答题 | 一般(0.65) |
【推荐1】已知数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId77b3f6b9955e499dbdab033a38779496eqIdae5b970dac864c0f81992d82383880bd.
(1)求证:数列eqId6ea8b953a39c43d5b852a85ea6f70db1是等差数列,并求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)设eqId6c6818009fce443c9e2b977160a30d80,令eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,求证:eqId6ed6ae23b9704448967eafdfc2b3d803.
更新:2020/05/30组卷:96
解答题 | 一般(0.65) |
解题方法
【推荐2】已知eqIddb5481de79c946c0a760143297d5eade是正项数列eqId14371862acf74867913500f815874b0c的前eqIdf458db68122849abb588feb2e682d9ac项和,eqIdc1e4d301eec54450bd5d8b768691ec82eqIdaec1e00438294991828540c55cfa5ed4.
(1)证明:数列eqId14371862acf74867913500f815874b0c是等差数列;
(2)设eqIdec1e34381e9b4866a1c634d82efe0b59,数列eqId5492258d9fcc46eda9f809b952c10ac5的前eqIdf458db68122849abb588feb2e682d9ac项和eqId92ed363a54bd4a8a93df9463bb3af1f5
①求证:eqId30763230393640c0bc4f28758b605fbd
②解关于eqIdf458db68122849abb588feb2e682d9ac的不等式:eqId944a6e73c32f447d91fe1324556304d0.
更新:2020/04/14组卷:243
解答题 | 一般(0.65) |
【推荐3】已知数列eqId054d5a7de5684002909fe944c86227c2的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIdc0a6443568a144b7a9bb2368db480ef5,数列eqId69fa66742e6b480eb0e55f574b8b7749满足:eqId938c32b7f578492d99c00211cdbbde16
(1)求证:数列eqIdc9aa74d58e894d52be8b0fb4ec6c5080为等比数列;
(2)求数列eqId69fa66742e6b480eb0e55f574b8b7749的前n 项和的最小值.
更新:2020/04/27组卷:133
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