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Manhattan Prep
A certain series is defined by the following recursive rule: \(S_n=k(S_n-1)\), where \(k\) is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term?
A. \(\sqrt{2}\)
B. \(\sqrt{3}\)
C. \(64\sqrt{3}\)
D. \(64\cdot 3^{1/3}\)
E. \(64\cdot 3^{24}\)
OA D
A certain series is defined by the following recursive rule: \(S_n=k(S_n-1)\), where \(k\) is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term?
A. \(\sqrt{2}\)
B. \(\sqrt{3}\)
C. \(64\sqrt{3}\)
D. \(64\cdot 3^{1/3}\)
E. \(64\cdot 3^{24}\)
OA D
