# Math Help - Supremum of a Monotonically Decreasing Sequence

1. ## 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?

2. ## Re: Supremum of a Monotonically Decreasing Sequence

Originally Posted by Math150
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.

3. ## 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

4. ## Re: Supremum of a Monotonically Decreasing Sequence

Originally Posted by Math150
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.