Problem

Write an explicit formula that represents the sequence defined by the following recursive formula: \[ a_{1}=96 \text { and } a_{n}=-\frac{1}{4} a_{n-1} \] Answer: \( a_{n}= \) Submit Answer attempt 1 ou

Solution

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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Source: https://solvelyapp.com/problems/21289/

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