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

A.
`f(n) =0.2n+4.8`

B. The y intercept is 4.8

Explanation:

Given

`a_n= 5 + 0.2(n-1)`

Solving (a): Write as a function.

To do this, we simply substitute f(n) for
`a_n`

`a_n= 5 + 0.2(n-1)` becomes

`f(n)= 5 + 0.2(n-1)`

Open Bracket

`f(n) = 5 + 0.2n-0.2`

Collect Like Terms

`f(n) =0.2n-0.2 + 5`

`f(n) =0.2n+4.8`

B. The y intercept.

To get the y intercept, we set n to 0

i.e

`f(0) =0.2 * 0+4.8`

`f(0) =0+4.8`

`f(0) =4.8`

Hence, the y intercept is 4.8