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Higher Level Sequence Definition: A power sequence is a sequence where the common difference is beyond the first level difference. Definition: A quadratic function is a function that can be expressed as y = ax 2 + bx + c, where a, b, c are real number coefficients and (otherwise it would be a linear function)

This is also classified as a second degree function because the highest exponent of x is 2. a is called the leading coefficient. It is the coefficient of the term with the highest power of x. Definition: A quadratic sequence is a sequence whose terms are generated by a ________________ (or rule).

Examples 1. Generate the first 6 terms of the following. Find the sequences of difference until you find the common difference. A) t n =n 2

2. t n = 2n 2 + nCalculatorCalculator

3. t n = 3n 2 + 5n - 6

Compare the common difference D 2 and the leading coefficient, a, of each sequence rule. –1. a = 1 D 2 = 2 –2. a = 2 D 2 = 4 –3. a = 3 D 2 = 6 OR

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