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# What is the explicit rule for the sequence?

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What is the explicit rule for the sequence?

May 1, 2018

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What is the explicit rule for the sequence?

$$\begin{array}{|rcll|} \hline 34 \\ & -8 \\ 26 \\ & -8 \\ 18 \\ & -8 \\ 10 \\ \hline \end{array}$$

$$\text{arithmetical sequence: \\ a_n = a_1 + (n-1)d \\ } \\ \text{ a_1 =34  and d=-8  }$$

$$\begin{array}{|rcll|} \hline a_n &=& a_1 + (n-1)d \\ a_n &=& 34 + (n-1)(-8) \\ a_n &=& 34-8n+8 \\ \mathbf{a_n} & \mathbf{=} & \mathbf{42-8n} \\ \hline \end{array}$$

May 2, 2018