Question

Find the fifth term of the sequence: f(1) = 15 ; f(n) = f(n – 1) + 4 ; n ≥ 2

Answer 1

The fifth term of the sequence is 31.

Step-by-step explanation:

To find the fifth term of the sequence, we can use the given recursive formula. The first term, f(1), is given as 15. To find the next term, we add 4 to the previous term: f(n) = f(n-1) + 4. We can continue this pattern to find the fifth term:

1. First term: f(1) = 15
2. Second term: f(2) = f(1) + 4 = 15 + 4 = 19
3. Third term: f(3) = f(2) + 4 = 19 + 4 = 23
4. Fourth term: f(4) = f(3) + 4 = 23 + 4 = 27
5. Fifth term: f(5) = f(4) + 4 = 27 + 4 = 31

Therefore, the fifth term of the sequence is 31.