SOLUTION: If you could please help me solve this whole entire input output equation that would be great! Ok here is the input/ top row - 1 2 4 5 8 12 _ here is the outp

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Question 649759: If you could please help me solve this whole entire input output equation that would be great! Ok here is the input/ top row - 1 2 4 5 8 12 _
here is the output/ bottom row -3 9 21 _ _ _ 57
what is the rule and the numbers for the top and bottom, if you could message me by 7:00am tomorrow 9/12/12 morning that would be great. Thank you1

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You have three fully described non-collinear points. I'm going to presume that you were just being sloppy with the hyphen where you started the first row because if the first input value is -1, then the answer comes out with sloppy decimal fractions.

Since you have three non-collinear points, you can uniquely describe either a circle or a parabola, but since this looks like you want a function, I'm going to go with a parabola.

A general function that graphs to a parabola is:



Substituting the values for the first three points:







Which leads to the following 3X3 linear system:







You have some work to do:

Step 1: Solve the 3X3 linear system to get your function coefficients.

Step 2: Evaluate your function at 5, 8, and 12.

Step 3: Set your function equal to 57 and solve for

John

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