Question

Write an explicit formula that represents the sequence defined by the following recursive formula: a1=72 and an=-1/6a_n-1

Answer 1

`\begin{gathered} a_1=72 \\ \\ a_n=-(1)/(6)a_(n-1) \end{gathered}`

Write an explicit formula that represents the sequence

`\begin{gathered} a(n)=(-(1)/(6))^(n-1)\cdot72 \\ \\ a(n)=(-(1)/(6))^n(-(1)/(6))^(-1)72_{} \\ a(n)=(-(1)/(6))^n-6\cdot72 \\ a(n)=-(-(1)/(6))^n432 \end{gathered}`