SOLUTION: Okay I have a chart like this: n 1 2 3 4 5 f(n) -3 0 3 6 9 I need to determine the degree and find the equation of the polynomial HELP PLEASE tha

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Okay I have a chart like this: n 1 2 3 4 5 f(n) -3 0 3 6 9 I need to determine the degree and find the equation of the polynomial HELP PLEASE tha      Log On


   

Question 94343: Okay
I have a chart like this:
n 1 2 3 4 5
f(n) -3 0 3 6 9
I need to determine the degree and find the equation of the polynomial
HELP PLEASE
thanks
llo
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I have a chart like this:
n 1 2 3 4 5
f(n) -3 0 3 6 9
I need to determine
------------
Since there is a common difference of 3 in the f(n) row the
funcion is linear.
Form y = mx+b
Pick two points and find the linear equation.
If you pick point (2,0) and (5,9)
slope = m = 9/3 = 3
Substituting into y=mx+b you get:
9 = 3*5+b
b = -6
EQUATION:
f(n) = 3n-6
Test this with a few of the points and you will see it is correct.
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Cheers,
Stan H