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

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

f (n + 1) = f(n) + 5

f (n + 1) = f(n) – 5 [this answer is correct]

f (n) = f(n + 1 ) – 5

f (n + 1) = –5f(n)

Answer 2

f(1) = 6
f(2) = 6 - 5 = 1 => f(2) = f(1) - 5

Required recursive formular => f(n + 1) = f(n) - 5