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Because the second differences are the same, a second degree polynomial
solution is indicated. The solution was found using the Trendline feature
in Excel, found under the Insert Menu. The regression could also be done
using the statistics features of graphing calculators. This type of strategy
to finding a pattern in numbers is possible at the secondary level because
of technology. The solution of y=.5x2+.5x+4E-12 is equivalent
to the solution of f(n) = an=n(n+1)/2.
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