已知正项数列{An}中,a1=1,且点P(An,Sn)(n∈N﹢)在函数y=(x²+x)/2图像上.①求数列{An}的通项公式.②设Bn=1/An,Sn表示数列{Bn}的前n项和.试问:是否存在关于n的整式g(n),使得S1+S2+S3+…+S(n-
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![已知正项数列{An}中,a1=1,且点P(An,Sn)(n∈N﹢)在函数y=(x²+x)/2图像上.①求数列{An}的通项公式.②设Bn=1/An,Sn表示数列{Bn}的前n项和.试问:是否存在关于n的整式g(n),使得S1+S2+S3+…+S(n-](/uploads/image/z/15226671-39-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%AD%A3%E9%A1%B9%E6%95%B0%E5%88%97%7BAn%7D%E4%B8%AD%2Ca1%3D1%2C%E4%B8%94%E7%82%B9P%EF%BC%88An%2CSn%EF%BC%89%EF%BC%88n%E2%88%88N%EF%B9%A2%EF%BC%89%E5%9C%A8%E5%87%BD%E6%95%B0y%3D%EF%BC%88x%26sup2%3B%2Bx%EF%BC%89%2F2%E5%9B%BE%E5%83%8F%E4%B8%8A.%E2%91%A0%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.%E2%91%A1%E8%AE%BEBn%3D1%2FAn%2CSn%E8%A1%A8%E7%A4%BA%E6%95%B0%E5%88%97%7BBn%7D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C.%E8%AF%95%E9%97%AE%EF%BC%9A%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E5%85%B3%E4%BA%8En%E7%9A%84%E6%95%B4%E5%BC%8Fg%EF%BC%88n%EF%BC%89%2C%E4%BD%BF%E5%BE%97S1%2BS2%2BS3%2B%E2%80%A6%2BS%EF%BC%88n-)
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