[tex] a_n=16(1.5)^{n-1}\\\\a_1=16(1.5)^{1-1}=16(1.5)^0=16\\\\\text{The reursive formula}:\\\\a_n=\left\{\begin{array}{ccc}a_1=16\\a_{n+1}=1.5a_n\end{array}\right [/tex]