已知数列1,1+1/2,1+1/3+2/3,1+1/4+2/4+3/4,…,1+1/2009+2/2009+…+2008/2009,…1.写出它的通项an,并证明数列{an}是等差数列2.设 bn=1/an*an-1,求数列{bn}的前n项和
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![已知数列1,1+1/2,1+1/3+2/3,1+1/4+2/4+3/4,…,1+1/2009+2/2009+…+2008/2009,…1.写出它的通项an,并证明数列{an}是等差数列2.设 bn=1/an*an-1,求数列{bn}的前n项和](/uploads/image/z/362688-24-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%971%2C1%2B1%2F2%2C1%2B1%2F3%2B2%2F3%2C1%2B1%2F4%2B2%2F4%2B3%2F4%2C%E2%80%A6%2C1%2B1%2F2009%2B2%2F2009%2B%E2%80%A6%2B2008%2F2009%2C%E2%80%A61.%E5%86%99%E5%87%BA%E5%AE%83%E7%9A%84%E9%80%9A%E9%A1%B9an%2C%E5%B9%B6%E8%AF%81%E6%98%8E%E6%95%B0%E5%88%97%7Ban%7D%E6%98%AF%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%972.%E8%AE%BE+bn%3D1%2Fan%2Aan-1%2C%E6%B1%82%E6%95%B0%E5%88%97%7Bbn%7D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C)
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