已知数列{an}的前n项和为Sn, 且满足a1 = 2, nan + 1 = Sn + n(n + 1).
(Ⅰ)求数列{an}的通项公式an;
(Ⅱ)设Tn为数列
}的前n项和, 求Tn;
(Ⅲ)设
, 证明:
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已知数列{an}的前n项和为Sn, 且满足a1 = 2, nan + 1 = Sn + n(n + 1).
(Ⅰ)求数列{an}的通项公式an;
(Ⅱ)设Tn为数列
}的前n项和, 求Tn;
(Ⅲ)设
, 证明:
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