Construct a non-increasing sequence (An) such that it converges to its supremum.

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We know that a real sequence which is increasing and bounded above converges to its supremum. Is this possible for a non - increasing sequence as well? State that sequence. I am not able to think of a suitable example for this. Please help me.

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Consider the sequence $A_{n}$ with $A_{2n-1} = 5$, $A_{2n} = 5 - \frac{1}{n}$, this is a non-increasing sequence and it converge to it suprem $5$