Classifying Sequences

Now that you understand what sequences are and how to find what they approach, you can now classify different types of sequences. First, a sequence is considered monotone if all of its terms are increasing or decreasing in unison. Next, a sequence is considered bounded if all terms lie within an upper and lower bound. Lastly, a sequence is convergent if it approaches a finite value. Examples are below.

Steps:
1. Write out the first couple terms of the sequence, then make conclusions



Question 1: \[1 \over 4+ (-3^n)\]

Question 2: \[2^n\]

Question 3: \[-e^{-n}\]