优优班--学霸训练营 > 知识点挑题
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            • 1.
              如果等差数列\(\{a_{n}\}\)中,\(a_{3}+a_{4}+a_{5}=12\),那么\(a_{1}+a_{2}+…+a_{7}=(\)  \()\)
              A.\(14\)
              B.\(21\)
              C.\(28\)
              D.\(35\)
            • 2.
              若等差数列\(\{a_{n}\}\)满足\(a_{1}+a_{2}+a_{2015}+a_{2016}=3\),则\(\{a_{n}\}\)的前\(2016\)项之和\(S_{2016}=(\)  \()\)
              A.\(1506\)
              B.\(1508\)
              C.\(1510\)
              D.\(1512\)
            • 3.
              在等差数列\(\{a_{n}\}\)中,已知\(a_{3}+a_{8}=6\),则\(3a_{2}+a_{16}\)的值为\((\)  \()\)
              A.\(24\)
              B.\(18\)
              C.\(16\)
              D.\(12\)
            • 4.
              在等差数列\(\{a_{n}\}\)中,已知\(a_{3}+a_{8}=10\),则\(3a_{5}+a_{7}=(\)  \()\)
              A.\(10\)
              B.\(18\)
              C.\(20\)
              D.\(28\)
            • 5.
              已知等差数列\(\{a_{n}\}\)前\(9\)项的和为\(27\),\(a_{10}=8\),则\(a_{100}=(\)  \()\)
              A.\(97\)
              B.\(98\)
              C.\(99\)
              D.\(100\)
            • 6.
              数列\(\{a_{n}\}\)满足\( \dfrac {1}{a_{n+1}}- \dfrac {1}{a_{n}}=d(n∈N^{*},d\)为常数\()\),则称数列\(\{a_{n}\}\)为调和数列,记数列\(\{ \dfrac {1}{x_{n}}\}\)为调和数列,且\(x_{1}+x_{2}+…+x_{22}=77\),则\(x_{11}+x_{12}=\) ______ .
            • 7.
              已知数列\(\{a_{n}\}\)是等差数列,\(a_{1}+a_{3}=2\),\(a_{3}+a_{5}=4\),则\(a_{5}+a_{7}=(\)  \()\)
              A.\(6\)
              B.\(8\)
              C.\(12\)
              D.\(16\)
            • 8.
              如果有穷数列\(a_{1}\),\(a_{2}\),\(…a_{m}(m\)为正整数\()\)满足条件:\(a_{1}=a_{m}\),\(a_{2}=a_{m-1}\),\(…a_{m}=a_{1}\),则称其为“对称数列”\(.\)例如数列\(1\),\(2\),\(5\),\(2\),\(1\)与数列\(8\),\(4\),\(2\),\(4\),\(8\)都是“对称数列”\(.\)已知在\(21\)项的“对称数列”\(\{c_{n}\}\)中,\(c_{11}\),\(c_{12}\),\(…\),\(c_{21}\)是以\(1\)为首项,\(2\)为公差的等差数列,则\(c_{2}=(\)  \()\)
              A.\(21\)
              B.\(1\)
              C.\(3\)
              D.\(19\)
            • 9. 在等差数列\(\{a_{n}\}\)中,若\(a_{2}=4\),\(a_{4}=2\),则\(a_{6}=(\)  \()\)
              A.\(-1\)
              B.\(0\)
              C.\(1\)
              D.\(6\)
            • 10.
              已知等差数列\(\{a_{n}\}\)的前项和为\(S_{n}\),若\(a_{3}=9,a_{5}=5{则} \dfrac {S_{9}}{S_{5}}{的值是}(\)  \()\)
              A.\(-1\)
              B.\( \dfrac {1}{2}\)
              C.\(1\)
              D.\(2\)
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