关于错位相减法的问题设数列{An}满足A1+3A2+3^2A3+…+3^n-1An=n/3,n∈N*.(1)求数列{An}的通项(2)设Bn=n/An,求数列{Bn}的前n项和Sn
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![关于错位相减法的问题设数列{An}满足A1+3A2+3^2A3+…+3^n-1An=n/3,n∈N*.(1)求数列{An}的通项(2)设Bn=n/An,求数列{Bn}的前n项和Sn](/uploads/image/z/3996998-62-8.jpg?t=%E5%85%B3%E4%BA%8E%E9%94%99%E4%BD%8D%E7%9B%B8%E5%87%8F%E6%B3%95%E7%9A%84%E9%97%AE%E9%A2%98%E8%AE%BE%E6%95%B0%E5%88%97%7BAn%7D%E6%BB%A1%E8%B6%B3A1%2B3A2%2B3%5E2A3%2B%E2%80%A6%2B3%5En-1An%3Dn%2F3%2Cn%E2%88%88N%2A.%281%29%E6%B1%82%E6%95%B0%E5%88%97%7BAn%7D%E7%9A%84%E9%80%9A%E9%A1%B9%282%29%E8%AE%BEBn%3Dn%2FAn%2C%E6%B1%82%E6%95%B0%E5%88%97%7BBn%7D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8CSn)
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