Brian Mere's Digital Garden
Increasing, Decreasing, Monotone Sequences
increasing, decreasing, monotone
A sequence
(
a
n
)
is:
increasing
if
a
n
≤
a
n
+
1
for all
n
∈
N
decreasing
if
a
n
≥
a
n
+
1
for all
n
∈
N
monotone
if it is either increasing or decreasing.