Determine if the sequence is (a) bounded above, (b) bounded below, and (c) bounded or unbounded.
an = 4 – n
Each term is 4 minus a natural number, so all the terms are smaller than 3. The value of 4 – n can get as negative as we like.
a) Yes, this sequence is bounded above.
b) No, this sequence is not bounded below.
c) This sequence is unbounded because it has no lower bound.