Question

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

6, 1, –4, –9, –14

Answer 1

f(n) = f(n - 1) - 5

Explanation:

The recursive formula allows a term in the sequence to be found by adding the constant difference to the previous term.

Here d = 1 - 6 = - 4 - 1 = - 9 - (- 4) = - 14 - (- 9) = - 5 , then

f(n) = f(n - 1) - 5 with n ≥ 1 and f(1) = 6