设数列{an}满足:a1=5/6,且an=1/3a(n-1)+1/3(n∈N+,n≥2) (1)求证:数列{an-1/2}为等比数列(2)求an(3)求an的前n项和Sn
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![设数列{an}满足:a1=5/6,且an=1/3a(n-1)+1/3(n∈N+,n≥2) (1)求证:数列{an-1/2}为等比数列(2)求an(3)求an的前n项和Sn](/uploads/image/z/6913341-45-1.jpg?t=%E8%AE%BE%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E6%BB%A1%E8%B6%B3%EF%BC%9Aa1%3D5%2F6%2C%E4%B8%94an%3D1%2F3a%EF%BC%88n-1%EF%BC%89%2B1%2F3%EF%BC%88n%E2%88%88N%2B%2Cn%E2%89%A52%EF%BC%89+%281%29%E6%B1%82%E8%AF%81%EF%BC%9A%E6%95%B0%E5%88%97%EF%BD%9Ban-1%2F2%EF%BD%9D%E4%B8%BA%E7%AD%89%E6%AF%94%E6%95%B0%E5%88%97%EF%BC%882%EF%BC%89%E6%B1%82an%EF%BC%883%EF%BC%89%E6%B1%82an%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8CSn)
设数列{an}满足:a1=5/6,且an=1/3a(n-1)+1/3(n∈N+,n≥2) (1)求证:数列{an-1/2}为等比数列(2)求an(3)求an的前n项和Sn
设数列{an}满足:a1=5/6,且an=1/3a(n-1)+1/3(n∈N+,n≥2) (1)求证:数列{an-1/2}为等比数列(2)求an(3)求an的前n项和Sn
设数列{an}满足:a1=5/6,且an=1/3a(n-1)+1/3(n∈N+,n≥2) (1)求证:数列{an-1/2}为等比数列(2)求an(3)求an的前n项和Sn
第二问用差项求和
希望可以帮到你.