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题型:解答题 题类:模拟题 难易度:较难
.已知\(S_{n}\)为数列\(\{\)\(a_{n}\)\(\}\)的前\(n\)项和,\(a_{n} > \)\(0\),\(a_{n}^{2} \)\(+\)\(2\)\(a_{n}=\)\(4\)\(S_{n}+\)\(3\).
\((1)\)求\(\{\)\(a_{n}\)\(\}\)的通项公式\(;\)
\((2)\)设\(b_{n}=\)\( \dfrac{1}{{a}_{n}{a}_{n+1}} \),求数列\(\{\)\(b_{n}\)\(\}\)的前\(n\)项和.
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