Pg. 417/425 Homework Pg. 395#43, 60 Pg. 589#1 – 8 all, 17, 18, 21, 22.

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Pg. 417/425 Homework Pg. 395#43, 60 Pg. 589#1 – 8 all, 17, 18, 21, 22

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.

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?

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.

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?

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.