We can see that this table has a slope of 6. If you remember, the slope-intercept form is y = mx + b, where m is the slope. If we plug that in we have:
[tex]f(n) = 6n+b[/tex]
b has to be a number that satisfies every value. If we plug in 1 for n, then right now we will be left with:
[tex]18 = 6(1) + b[/tex]
Solving for b, we get:
[tex]b = 12[/tex]
We have our final explicit function in terms of n (your answer):
[tex]f(n) = 6n + 12[/tex]
Or, you can write this as:
[tex]f(n) = 6(n+2)[/tex]
