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证明:数列n除以2n+1是递减数列
人气:175 ℃ 时间:2020-09-16 05:18:51
解答
证明:考察a(n)和a(n+1)
a(n)-a(n+1)
=n / (2n+1) - (n+1) / (2n+3)
=[n (2n+3) - (n+1)(2n+1)] / (2n+1)(2n+3)
=-1 / (2n+1)(2n+3)
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