Answer
See answers below
Work Step by Step
The starting value $a_1$ is $27$. The common ratio $r$ is $\frac{36}{27}=\frac{4}{3}$.
The recursive formula is $a_1=27; a_n=a_{n-1}.\frac{4}{3}$
The explicit formula is: $ a_n=27.(\frac{4}{3})^{n-1}$