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Transcript of Page 4 – 6 #7, 8, 10, 12, 15 3205 page 6 Challenge yourself.
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Page 4 – 6#7, 8, 10, 12, 15
3205 page 6Challenge yourself
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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 = ax2 + bx + c, where a, b, c are real number coefficients and (otherwise it would be a linear function)
0a
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• 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).
2 ,nt an bn c n N
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Examples
1. Generate the first 6 terms of the following. Find the sequences of difference until you find the common difference.
A) tn=n2
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2. tn = 2n2 + n Calculator
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3. tn = 3n2 + 5n - 6
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• Compare the common difference D2 and the leading coefficient, a, of each sequence rule.– 1. a = 1 D2 = 2
– 2. a = 2 D2 = 4
– 3. a = 3 D2 = 6
2
12
a D2 2D aOR
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Page 9 # 22, 23(do six terms)
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