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Math Help - Subsequence of monotonically increasing sequence

  1. #1
    Junior Member
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    Mar 2011
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    Subsequence of monotonically increasing sequence

    Hi, my question is:

    Show that a monotonically increasing sequence always has either a constant subsequence or a strictly increasing subsequence.

    Any help would be greatly appreciated
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  2. #2
    Super Member
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    Athens, OH, USA
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    Re: Subsequence of monotonically increasing sequence

    Here's a solution:

    Subsequence of monotonically increasing sequence-mhfmonotoneseq.png
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