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(-}(1)/(3))^{n\text{ + 1}} \\ \text{ a}_1\text{ = -405(-}(1)/(3))^{1\text{ + 1}}\text{ = -405(-}(1)/(3))^2\text{ = -405(}(1)/(9))\text{ = -45} \end{gathered}`

ok

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