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  • 题型:解答题 题类:期中考试 难易度:中档

    已知数列\(\{ a_{n}\}\)是等差数列,\(a_{1}{+}a_{2}{+}a_{3}{=}15\),数列\(\{ b_{n}\}\)是等比数列,\(b_{1}b_{2}b_{3}{=}27\),且\(a_{1}{=}b_{2}{,}a_{4}{=}b_{3}\)
    \((1)\)求数列\(\{ a_{n}\}\)\(\{ b_{n}\}\)的通项公式;

    \((2)\)数列\(\{ c_{n}\}\)满足\(c_{n}{=}2a_{n}{+}b_{n}\),求数列\(\{ c_{n}\}\)的前\(n\)项和.

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