Question

Part A

Write the explicit formula in function form.
an = 5 +0.2(n - 1)
f(n) =

Part b
What is the y-intercept of the function​

Answer 1

f(n) = 0.2n + 4.8

4.8

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