Question

Enter the explicit rule for the geometric sequence.

Answer 1

Answer:  $\frac{3}{2}$$(\frac{1}{2})^{n-1}$

Step-by-step explanation:

$\frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \frac{3}{16}, \frac{3}{32}, ...$

common ratio (r) = $\frac{1}{2}$

first term (a₁) = $\frac{3}{2}$

$a_{n}$ = a₁ (r)ⁿ⁻¹

   = $\frac{3}{2}$$(\frac{1}{2})^{n-1}$