数列\(\{a_{n}\}\)满足\(a_{1}=1\),\(a_{n+1}=(n^{2}+n-λ)a_{n}(n=1,2,…)\),\(λ\)是常数.
\((1)\)当\(a_{2}=-1\)时,求\(λ\)及\(a_{3}\)的值;
\((2)\)是否存在实数\(λ\)使数列\(\{a_{n}\}\)为等差数列?若存在,求出\(λ\)及数列\(\{a_{n}\}\)的通项公式;若不存在,请说明理由.
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