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A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is $24 \mathrm{~m}$. With each swing, she travels along an arc that is half as long as the arc of the previous swing.$\newline$Which expression gives the total length the monkey swings in her first $n$ swings?$\newline$Choose $1$ answer:$\newline$(A) $24 \cdot \frac{\left(1-1.5^{n}\right)}{-0.5}$$\newline$(B) $24 \cdot \frac{\left(1-1.5^{n}\right)}{0.5}$$\newline$(C) $24 \cdot \frac{\left(1-0.5^{n}\right)}{-0.5}$$\newline$(D) $24 \cdot \frac{\left(1-0.5^{n}\right)}{0.5}$