已知数列{an}中,a1=√2/2,an=[2(Sn)^2]/(2Sn +1)(n≥2,n∈N*)(1)证明{1/Sn}为等差数列 (2)数列{an}中的最大项和最小项
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![已知数列{an}中,a1=√2/2,an=[2(Sn)^2]/(2Sn +1)(n≥2,n∈N*)(1)证明{1/Sn}为等差数列 (2)数列{an}中的最大项和最小项](/uploads/image/z/1159392-48-2.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%7Ban%7D%E4%B8%AD%2Ca1%3D%E2%88%9A2%2F2%2Can%3D%5B2%28Sn%29%5E2%5D%2F%282Sn+%2B1%29%28n%E2%89%A52%2Cn%E2%88%88N%2A%29%281%29%E8%AF%81%E6%98%8E%7B1%2FSn%7D%E4%B8%BA%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97+%282%29%E6%95%B0%E5%88%97%7Ban%7D%E4%B8%AD%E7%9A%84%E6%9C%80%E5%A4%A7%E9%A1%B9%E5%92%8C%E6%9C%80%E5%B0%8F%E9%A1%B9)
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