Question

What is the recursive rule for this geometric sequence?

Answer 1

Answer:

$a_{n}$ = $\frac{1}{4}$$a_{n-1}$

Step-by-step explanation:

The recursive rule allows us to find the term in a sequence from the previous term by multiplying it by the common ratio.

The common ratio r for the geometric sequence is

r = $\frac{\frac{1}{2} }{2}$ = $\frac{1}{4}$

Thus the recursive rule is

$a_{n}$ = $\frac{1}{4}$$a_{n-1}$ with a₁ = 2