High School

Represent the arithmetic series using the recursive formula.

94, 87, 80, 73, …

A. \( f(n) = f(1) + (7) \)
B. \( f(n) = f(1) + (-7) \)
C. \( f(n) = f(n - 1) + (7) \)
D. \( f(n) = f(n - 1) + (-7) \)

Answer :

Answer:

D

Step-by-step explanation:

f(n) - f(n-1) = 87 - 94

f(n) - f(n-1) = -7

f(n) = f(n-1) - 7

Answer:

D] f(n) = f(n − 1) + (−7)

Step-by-step explanation:

since you already know is an arithmetic series, you have to find the common difference.

87 - 94 = -7

80 - 87 = -7

73 - 80 = -7

the formula for the nth term is f(n) = f(n-1) + d

where f(n-1) is the previous term and d is the common difference, so if youu substitute you get:

f(n) = f(n-1) + d

f(n) = f(n-1) + (-7)