Answer:
f(5) = 24
Explanation:
We could simply list out the values for f(1) through f(5) or we can use the general equation
Let's do it both ways
Given f(1) = 4 and f(n) = f(n-1) + 5
f(2) = f(1) + 5 = 4 + 5 = 9
f(3) = f(2) + 5 = 9 + 5 = 14
f(4) = f(3) + 5 = 14 + 5 = 19
f(5) = f(4) + 5 = 19 + 5 = 24
The function given produces an arithmetic sequence with a common difference d = 5 and the first element f(1) as 4
The general equation for the nth term of such a sequence is
f(n) = f(1) + d(n-1)
f(5) = 4 + 5(5-1)
= 4 + 5 (4)
= 4 + 20
= 24