The first 4 terms of a geometric sequence are listed in order below. What is the seventh term of the sequence?

$$24, 12, 6, 3, ...$$

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Continue the sequence:

$$24, 12, 6, 3, \frac{3}{2}, \frac{3}{4}, \frac{3}{8}, ...$$ $$\frac{3}{8} = 0.375$$

Use the explicit formula for a geometric sequence:

$$a_n = a_1r^{n-1}$$ $$a_7 = 24\left(\frac{1}{2}\right)^{7-1}$$ $$a_7 = 24\left(\frac{1}{2}\right)^{6}$$ $$a_7 = 24\left(\frac{1}{2^6}\right)$$ $$a_7 = 24\left(\frac{1}{64}\right)$$ $$a_7=\frac{24}{64}$$ $$a_7 = \boxed{\frac{3}{8}}$$