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Pg. 417/425 Homework Pg. 395#43, 60 Pg. 589#1 – 8 all, 17, 18, 21, 22
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11.1 Sequences Finding Terms in a Sequence List the first three terms and the 15 th term of the following sequences: Fibonacci Sequence 0, 1, 1, 2, … do you know/see a pattern? a n = a n – 1 + a n – 2 Find the first 15 terms of the Fibonacci Sequence.
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11.1 Sequences Arithmetic Sequences A sequence {a n } is called an arithmetic sequence if there is a real number d such that: and for every positive integer n. The number d is called the common difference of the arithmetic sequence. What do the subscripts mean? How are these two formulas different from each other?
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11.1 Sequences Examples The first two terms of an arithmetic sequence are -8 and -2. Find the 10 th term and a formula for the nth term. The third and eighth terms of an arithmetic sequence are 13 and 3, respectively. Determine the 1 st term and the nth term.
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11.1 Sequences Geometric Sequences A sequence {a n } is called an geometric sequence if there is a nonzero real number r such that: and for every positive integer n. The number r is called the common ratio of the geometric sequence. How are these two formulas different from each other?
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11.1 Sequences Examples The second and third terms of a geometric sequence are -6 and 12, respectively. Determine the 1 st term and the formula for the nth term. The second and third terms of a geometric sequence are ½ and 8, respectively. Determine the 1 st term and the formula for the nth term.
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