Question

What is the recursive formula for this geometric sequence with this explicit formula?

Answer 1

Answer: B(APEX)

Step-by-step explanation:

Answer 2

B

The n th term ( explicit formula) for a geometric sequence is

$a_{n}$ = $a_{1}$$(r)^{n-1}$

where $a_{1}$ is the first term and r the common ratio, hence

$a_{1}$ = 6 and r = - $\frac{1}{4}$

The recursive formula lets us find the next term in the sequence from the previous term by multiplying the previous term by r, hence

$a_{n}$ = $a_{n-1}$( - $\frac{1}{4}$ )with $a_{1}$ = 6