Question

What is the recursive formula for the geometric sequence with this explicit formula? an=6*(-1/4)^(n-1)

Answer 1

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

$a_{n}$ = a₁$(r)^{n-1}$

where a₁ is the first term and r the common ratio

Given the explicit formula

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

where a₁ = 6 and r = - $\frac{1}{4}$

A recursive formula allows any term in the sequence to be found by multiplying the previous term by r , thus

$a_{n}$ = $a_{n-1}$ (- $\frac{1}{4})$ with a₁ = 6 → A