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  • 题型:解答题 题类:期末考试 难易度:较易

    已知在等比数列\(\{a _{n} \}\)中,\(a _{n} > 0\),\(a _{1} =4\),\( \dfrac {1}{a_{2}} - \dfrac {1}{a_{3}} = \dfrac {2}{a_{4}}\).
    \((1)\)求数列\(\{a _{n} \}\)的通项公式;
    \((2)\)若\(b _{n} = \dfrac {1}{\log _{2}a_{n}\cdot \log _{2}a_{n+1}}\),求数列\(\{b _{n} \}\)前\(n\)项的和.
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