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### Section 10.2 : More on Sequences

For each of the following problems determine if the sequence is increasing, decreasing, not monotonic, bounded below, bounded above and/or bounded.

1. $$\left\{ \frac{1}{{4n}}} \right\}_{n = 1}^\infty$$ Solution
2. $$\left\{ {n{{\left( { - 1} \right)}^{n + 2}}} \right\}_{n = 0}^\infty$$ Solution
3. $$\left\{ {{3^{ - \,n}}} \right\}_{n = 0}^\infty$$ Solution
4. $$\left\{ \frac{{2{n^2} - 1}}{n}} \right\}_{n = 2}^\infty$$ Solution
5. $$\left\{ \frac{{4 - n}}{{2n + 3}}} \right\}_{n = 1}^\infty$$ Solution
6. $$\left\{ \frac{{ - n}}{{{n^2} + 25}}} \right\}_{n = 2}^\infty$$ Solution