Answer:
f(n) = 0.2n + 4.8
4.8
Step-by-step explanation:
Given the explicit formula :
an = 5 +0.2(n - 1)
Expressing an in function form f(n):
f(n) = 5 + 0.2(n - 1)
f(n) = 5 + 0.2n - 0.2
f(n) = 5 - 0.2 + 0.2n
f(n) = 0.2n + 4.8
The y - intercept :
Set n = 0
f(n) = 0.2n + 4.8
f(0) = 0.2(0) + 4.8
= 0 + 4.8
= 4.8
y intercept = 4.8