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A "Fitting" Celebration of the Fourth
The next term could be 40. Explain using the quoted hint!
Students, as most people do, tend to look for simple arithmetic patterns like "subtract 3, add 8" but this problem can be "fitted" into a quadratic pattern. Common Core and STEM strongly recommend that math educators include Least Squares methods into our curriculum using appropriate technology. But algebra teachers can seize the opportunity as well to fit a parabola thru the points (1,7), (2,4) and (3,15)!