Answer:
[tex]a_n = -192(\frac{-1}{4})^{n-1}[/tex]
[tex]a_6= \frac{3}{16}[/tex]
Step-by-step explanation:
Explicit Formula: [tex]a_n = a_1(r)^{n-1}[/tex]
Step 1: Find r
-192/48 = -4
So we are dividing -4 or multiplying -1/4
Step 2: Write explicit formula
[tex]a_n = -192(\frac{-1}{4})^{n-1}[/tex]
Step 3: Find [tex]a_6[/tex]
[tex]a_6 = -192(\frac{-1}{4})^{6-1}[/tex]
[tex]a_6= \frac{3}{16}[/tex]
