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

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

Summary Submit Skip Question

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:

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