已知数列{An}的前n项和为Sn,a1=1,3A(n+1)+2Sn=3(n为正整数)(1)求数列{An}的通项公式(2)记S=A1+A2+……+An+……,若对任意正整数n,kS≤Sn恒成立,求实数k的最大值
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![已知数列{An}的前n项和为Sn,a1=1,3A(n+1)+2Sn=3(n为正整数)(1)求数列{An}的通项公式(2)记S=A1+A2+……+An+……,若对任意正整数n,kS≤Sn恒成立,求实数k的最大值](/uploads/image/z/5465718-54-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%7BAn%7D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C%E4%B8%BASn%2Ca1%3D1%2C3A%28n%2B1%29%2B2Sn%3D3%28n%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%29%EF%BC%881%EF%BC%89%E6%B1%82%E6%95%B0%E5%88%97%7BAn%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%EF%BC%882%EF%BC%89%E8%AE%B0S%3DA1%2BA2%2B%E2%80%A6%E2%80%A6%2BAn%2B%E2%80%A6%E2%80%A6%2C%E8%8B%A5%E5%AF%B9%E4%BB%BB%E6%84%8F%E6%AD%A3%E6%95%B4%E6%95%B0n%2CkS%E2%89%A4Sn%E6%81%92%E6%88%90%E7%AB%8B%2C%E6%B1%82%E5%AE%9E%E6%95%B0k%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC)
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