Question

Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1?

6, 1, –4, –9, –14, …

A.)f (n + 1) = f(n) + 5
B.)f (n + 1) = f(n) – 5
C.)f (n) = f(n + 1 ) – 5
D.)f (n + 1) = –5f(n)

Answer 1

The Answer is B

Explanation:

Answer 2

B) because f(2) = f(1) - 5 = 6 - 5 = 1;
f(3) = f(2) - 5 = 1 - 5 = -4;
f(4) = f(3) - 5 = -4 - 5 = -9;
f(5) = f(4) - 5 = -9 - 5 = - 14;