已知各项均为正数的数列{An}的前n项和Sn满足S1>1,且6Sn=(1+An)(2+An),n∈N*1) 求{An}的通项公式2) 设数列{Bn}满足An(-1+2^(Bn))=1,并记Tn为{bn}的前n项和,求证:3Tn+1>log(3+An)/log2注:第2问的‘3Tn+1>log(3+An)/log2
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![已知各项均为正数的数列{An}的前n项和Sn满足S1>1,且6Sn=(1+An)(2+An),n∈N*1) 求{An}的通项公式2) 设数列{Bn}满足An(-1+2^(Bn))=1,并记Tn为{bn}的前n项和,求证:3Tn+1>log(3+An)/log2注:第2问的‘3Tn+1>log(3+An)/log2](/uploads/image/z/400352-32-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%90%84%E9%A1%B9%E5%9D%87%E4%B8%BA%E6%AD%A3%E6%95%B0%E7%9A%84%E6%95%B0%E5%88%97%7BAn%7D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8CSn%E6%BB%A1%E8%B6%B3S1%3E1%2C%E4%B8%946Sn%3D%281%2BAn%29%282%2BAn%29%2Cn%E2%88%88N%2A1%29+%E6%B1%82%7BAn%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F2%29+%E8%AE%BE%E6%95%B0%E5%88%97%7BBn%7D%E6%BB%A1%E8%B6%B3An%28-1%2B2%5E%28Bn%29%29%3D1%2C%E5%B9%B6%E8%AE%B0Tn%E4%B8%BA%7Bbn%7D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C%2C%E6%B1%82%E8%AF%81%EF%BC%9A3Tn%2B1%3Elog%283%2BAn%29%2Flog2%E6%B3%A8%EF%BC%9A%E7%AC%AC2%E9%97%AE%E7%9A%84%E2%80%983Tn%2B1%3Elog%283%2BAn%29%2Flog2)
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