$($C$7)$ Geometric and p$-$Series $-$ Wk $15$

For each series below: Identify if the series is a Geometric Series, a p$-$Series, or neither. If it is a Geometric or p $-$Series, determine the value of the ratio or $p,$ and determine if the series is convergent or divergent. Recall that Geometric series converge when $|r|<mn>1</mn>$ and p$-$series converge when $p>1.$ In all other cases, these types of series diverge.

a$.{\displaystyle \underset{n=1}{\overset{}{}}}\frac{8^n}{(3^2{)}^n}$

b$.{\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{\sqrt[\phantom{2}]{(2n+1)}}$