Question

Given f(1) = 24 and f(n) = -6 + f(n-1); what are the first 5 terms of the sequence?

Answer 1

The first 5 terms of the sequence are 24, 18, 12, 6, and 0.

Step-by-step explanation:

The given sequence is defined recursively by the equation f(n) = -6 + f(n-1). We are given that f(1) = 24. To find the first 5 terms of the sequence, we can use the recursive formula:

1. f(1) = 24
2. f(2) = -6 + f(1) = -6 + 24 = 18
3. f(3) = -6 + f(2) = -6 + 18 = 12
4. f(4) = -6 + f(3) = -6 + 12 = 6
5. f(5) = -6 + f(4) = -6 + 6 = 0

Therefore, the first 5 terms of the sequence are 24, 18, 12, 6, and 0.