Question

What is the recursive rule for this geometric sequence? 1/2, -2, 8, -32

Answer 1

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 = $\frac{-2}{\frac{1}{2} }$ = $\frac{8}{-2}$ = - 4

Hence recursive rule is

$a_{n+1}$ = - 4$a_{n}$ ( a₁ = $\frac{1}{2}$ )