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  • 题型:解答题 题类:期末考试 难易度:较易

    设数列\(\{a _{n} \}\)满足\(a _{1} =2\),\(a _{n+1} =a _{n} +2 ^{n}\).
    \((1)\)求数列\(\{a _{n} \}\)的通项公式;
    \((2)\)设\(b _{n} =\log _{2} (a _{1} \boldsymbol{⋅}a _{2} …a _{n} )\),求数列\(\{ \dfrac {1}{b_{n}} \}\)的前\(n\)项和\(S _{n}\).
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