AIR MATH

Math Question

Which of the following recursive formulas represents the same arithmetic sequence as the explicit formula \( a_{n}=2+(n-1) 5 \) ? A. \( \left\{\begin{array}{l}a_{1}=2 \\ a_{n}=a_{n-1}+5\end{array}\right. \) B. \( \left\{\begin{array}{l}a_{1}=5 \\ a_{n}=a_{n-1}+2\end{array}\right. \) C. \( \left\{\begin{array}{l}a_{1}=5 \\ a_{n}=\left(a_{n-1}+5\right) 2\end{array}\right. \) D. \( \left\{\begin{array}{l}z_{1}=2 \\ z_{n}=z_{n-1} \cdot 5\end{array}\right. \)

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