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Quadratic sequences

A quadratic sequence is a sequence whose nth term rule contains an n-squared (n2) term. The second difference of a quadratic sequence is constant. This can be used to find the nth term rule using the following rule: The coefficient of n2 is always half of the second difference. To find the linear part of the nth term rule, either a differencing method can be used or this can be found by setting up and solving a pair of simultaneous equations.

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