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

Answer:

A.  $f(n) =0.2n+4.8$

B. The y intercept is 4.8

Step-by-step 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