The sequence
is a bounded monotone decreasing sequence. Its upper bound is greater than or equal to 1, and the lower bound is any non-positive number. The least upper bound is number one, and the greatest lower bound is zero, that is,
for each natural number n.
The sequence
is a bounded monotone increasing sequence. The least upper bound is number
one, and the greatest lower bound is 
, that is,
for each natural number n.
The sequence
is an unbounded sequence, because it has no a finite upper bound.
Monotone increasing sequences:
Monotone decreasing sequences:
