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  • 题型:解答题 题类:历年真题 难易度:中档

    已知\(\{a_{n}\}\)是等比数列,\(\{b_{n}\}\)是公差不为零的等差数列,且\(a_{1}=b_{1}=1\),\(a_{2}=b_{2}\),\(a_{3}=b_{5}\)
    \((1)\)求数列\(\{a_{n}\}\),\(\{b_{n}\}\)的通项公式;
    \((2)\)设\(c_{n}= \dfrac {b_{n}}{a_{n}}\),且\(\{c_{n}\}\)的前\(n\)项的和为\(T_{n}\),求证:\(T_{n} < 3\)
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