Answer:
see explanation
Step-by-step explanation:
A recursive rule allows us to find the term in a sequence from the previous term.
From the given geometric sequence find r the common ratio
r = [tex]\frac{-2}{\frac{1}{2} }[/tex] = [tex]\frac{8}{-2}[/tex] = - 4
Hence recursive rule is
[tex]a_{n+1}[/tex] = - 4[tex]a_{n}[/tex] ( a₁ = [tex]\frac{1}{2}[/tex] )
