which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n ≥ 1? 5, -1, -7…

which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n ≥ 1? 5, -1, -7, -13, -19, ... f(n + 1) = f(n) + 6 f(n) = f(n + 1) - 6 f(n + 1) = f(n) - 6 f(n + 1) = -6f(n)

which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n ≥ 1? 5, -1, -7, -13, -19, ... f(n + 1) = f(n) + 6 f(n) = f(n + 1) - 6 f(n + 1) = f(n) - 6 f(n + 1) = -6f(n)

Answer

Answer:

C. $f(n + 1)=f(n)-6$

Explanation:

Step1: Find the common difference

$a_2 - a_1=-1 - 5=-6$

Step2: Check the recursive formula

For a recursive formula of an arithmetic - sequence $f(n + 1)=f(n)+d$, where $d$ is the common difference. Here $d=-6$, so $f(n + 1)=f(n)-6$.