AzaylaH109441 AzaylaH109441
  • 25-10-2022
  • Mathematics
contestada

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

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SanaviY661126 SanaviY661126
  • 25-10-2022
[tex]\begin{gathered} a_1=72 \\ \\ a_n=-\frac{1}{6}a_{n-1} \end{gathered}[/tex]

Write an explicit formula that represents the sequence

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

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