Question

Write a recursive sequence that represents the sequence defined by the following explicit formula: an=-405(-1/3)^n+1

Answer 1

$\begin{gathered} \text{ an = -405(-}\frac{1}{3})^{n\text{ + 1}} \\ \text{ a}_1\text{ = -405(-}\frac{1}{3})^{1\text{ + 1}}\text{ = -405(-}\frac{1}{3})^2\text{ = -405(}\frac{1}{9})\text{ = -45} \end{gathered}$

ok

$\begin{gathered} \text{ an = -405(-}\frac{1}{3})^{n\text{ + 1 - 1}} \\ \text{ an = -405(-}\frac{1}{3})^n \end{gathered}$