Problem

Write an explicit formula that represents the sequence defined by the following recursive formula:
$a_{1} = 96 and a_{n} = - \frac{1}{4} a_{n - 1}$
Answer: $a_{n} =$
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Answer

$a_{n} = 96 (- \frac{1}{4})^{n - 1}$

Steps

Step 1 ： $a_{1} = 96$

Step 2 ： $a_{n} = - \frac{1}{4} \cdot a_{n - 1}$

Step 3 ： $a_{n} = 96 (- \frac{1}{4})^{n - 1}$

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