Two sequences $\{t_n\}$ and $\{s_n\}$ are defined by $t_n = \log \left( \frac{5^{n+1}}{3^{n-1}} \right)$ and $s_n = \left[ \log \left( \frac{5}{3} \right) \right]^n$. Then:
- A$\{t_n\}$ is an $A.P.$,$\{s_n\}$ is a $G.P.$
- B$\{t_n\}$ and $\{s_n\}$ are both $G.P.$
- C$\{t_n\}$ and $\{s_n\}$ are both $A.P.$
- D$\{s_n\}$ is a $G.P.$,$\{t_n\}$ is neither $A.P.$ nor $G.P.$
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