Thread: 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?

Originally Posted by Math150

Is the supremum of a monotonically decreasing sequence equal to the first term in the sequence?

Well we have for a decreasing as opposed to non-increasing sequences.

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

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.