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  • 题型:解答题 题类:月考试卷 难易度:中档

    已知两个等差数列\(\{a _{n} \}\),\(\{b _{n} \}\),其中\(a _{1} =1\),\(b _{1} =6\),\(b _{3} =0\),记\(\{a _{n} \}\)前\(n\)项和为\(T _{n}\),\(T _{n} = \dfrac {n^{2}}{2} + \dfrac {n}{2}\).
    \((1)\)求数列\(\{a _{n} \}\)与\(\{b _{n} \}\)的通项公式;
    \((2)\)记\(c _{n} =a _{n} +b _{n}\),设\(S _{n} =|c _{1} |+|c _{2} |+|c _{3} |+…|c _{n} |\),求\(S _{n}\).
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