For a sequence , if for , then is increasing for . Conversely, if for , then is decreasing for .
If and for all , then is increasing for . Conversely, if and for all , then is decreasing for .
For a sequence , if for , then is increasing for . Conversely, if for , then is decreasing for .
If and for all , then is increasing for . Conversely, if and for all , then is decreasing for .
Weisstein, Eric W. "Increasing Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IncreasingSequence.html