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Math Help - Supremum of a Monotonically Decreasing Sequence

  1. #1
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    Supremum of a Monotonically Decreasing Sequence

    Just a quick question to help me with this Calc/Analy proof. Is the supremum of a monotonically decreasing sequence equal to the first term in the sequence?
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    Re: Supremum of a Monotonically Decreasing Sequence

    Quote Originally Posted by Math150 View Post
    Is the supremum of a monotonically decreasing sequence equal to the first term in the sequence?
    Well \forall n\ge 2 we have a_1>a_n for a decreasing as opposed to non-increasing sequences.
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    Re: Supremum of a Monotonically Decreasing Sequence

    Sorry, I'm a bit confused by that lol. I think I'd be better off showing the whole problem to give some context, Plato could I pm you because if I give more detail it might veer out of Calculus territory
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    Re: Supremum of a Monotonically Decreasing Sequence

    Quote Originally Posted by Math150 View Post
    Sorry, I'm a bit confused by that lol. I think I'd be better off showing the whole problem to give some context, Plato could I pm you because if I give more detail it might veer out of Calculus territory
    Post it here so all can see the question.
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