Decreasing sequence
From Encyclopedia of Mathematics
A sequence 
such that for each 
one has 
. Sometimes such a sequence is called strictly decreasing, while the term "decreasing sequence" is applied to a sequence satisfying for all 
the condition 
. Such a sequence is sometimes called non-increasing. Every non-increasing sequence that is bounded from below has a finite limit, while one that is not bounded from below has limit 
.
How to Cite This Entry:
Decreasing sequence. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Decreasing_sequence&oldid=32102
Decreasing sequence. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Decreasing_sequence&oldid=32102
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article