Answer
a) $a_{n}$ = $\frac{1}{3^{n}}$
b) $a_{n}$ = $(\frac{5}{2})^{n-1}$
c) $a_{n}$ = $(-1)^{n+1}\frac{n^{n}}{n!}$
d) $a_{n}$ = $\frac{1+\frac{(-1)^{n+1}+1}{2}}{n^{2}+1}$
Work Step by Step
a) $a_{n}$ = $\frac{1}{3^{n}}$
b) $a_{n}$ = $(\frac{5}{2})^{n-1}$
c) $a_{n}$ = $(-1)^{n+1}\frac{n^{n}}{n!}$
d) $a_{n}$ = $\frac{1+\frac{(-1)^{n+1}+1}{2}}{n^{2}+1}$
