What is the recursive formula for this geometric sequence? $-4,-24,-144,-864, \ldots$

O A. $\left\{\begin{array}{l}a_{1}=-4 \ a_{n}=a_{n-1} \bullet 6\end{array} ight.$
O B. $\left\{\begin{array}{l}a_{1}=-6 \ a_{n}=a_{n-1} \bullet 30\end{array} ight.$
O C. $\left\{\begin{array}{l}a_{1}=-4 \ a_{n}=a_{n-1} \bullet 30\end{array} ight.$
O D. $\left\{\begin{array}{l}a_{1}=-6 \ a_{n}=a_{n-1} \bullet 4\end{array} ight.$

Question

What is the recursive formula for this geometric sequence? $-4,-24,-144,-864, \ldots$

O A. $\left\{\begin{array}{l}a_{1}=-4 \ a_{n}=a_{n-1} \bullet 6\end{array}ight.$
O B. $\left\{\begin{array}{l}a_{1}=-6 \ a_{n}=a_{n-1} \bullet 30\end{array}ight.$
O C. $\left\{\begin{array}{l}a_{1}=-4 \ a_{n}=a_{n-1} \bullet 30\end{array}ight.$
O D. $\left\{\begin{array}{l}a_{1}=-6 \ a_{n}=a_{n-1} \bullet 4\end{array}ight.$

StudyXY · Accepted Answer

Let's solve this step by step: : Identify the first term and the common ratio : Verify the pattern : Construct the recursive formula : Match with given options Option A is the correct recursive formula for this geometric sequence.

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: Identify the first term and the common ratio

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