Wolfram Research
Wolfram Math World: Increasing Sequence
Provides a general overview of an increasing sequence. Content also includes the definition of a sequence.
Math Medics
S.o.s. Math: Sequences: Basic Definitions
This lesson thoroughly discusses sequences in mathematics. Includes information about increasing, decreasing, monotonic, and bounded sequences.
Other
Interactive Real Analysis: Sequence of Numbers
This is a short lesson from the Seton Hall University explaining increasing and decreasing sequences.