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  • 题型:解答题 题类:月考试卷 难易度:较难

    等差数列\(\{a _{n} \}\)的前\(n\)项和为\(S _{n}\),且\(a _{3} =9\),\(S _{6} =60\).
    \((1)\)求数列\(\{a _{n} \}\)的通项公式;
    \((2)\)若数列\(\{b _{n} \}\)满足\(b _{n+1} -b _{n} =a _{n} (n∈N _{+} )\)且\(b _{1} =3\),求数列\(\{ \dfrac {1}{b_{n}}\}\)的前\(n\)项和\(T _{n}\).
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