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Pg. 417/425 Homework. Pg. 395 #43, 60 Find the “derivative” of y = sin x Pg. 589 #1 – 8 all, 17, 18, 21, 22 #23 #85 Graph #86 0 < Ɵ < π #87 Ɵ = 0.995 = 54.72° #88 7.72 in 2. 11.1 Sequences. Finding Terms in a Sequence. Fibonacci Sequence.
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Pg. 417/425 Homework • Pg. 395 #43, 60Find the “derivative” of y = sin xPg. 589 #1 – 8 all, 17, 18, 21, 22 • #23 • #85 Graph • #86 0 < Ɵ < π • #87 Ɵ = 0.995 = 54.72° • #88 7.72 in2
11.1 Sequences Finding Terms in a Sequence Fibonacci Sequence 0, 1, 1, 2, … do you know/see a pattern? an = an – 1 + an – 2 Find the first 15 terms of the Fibonacci Sequence. • List the first three terms and the 15th term of the following sequences:
11.1 Sequences Arithmetic Sequences Examples: The first two terms of an arithmetic sequence are -8 and -2. Find the 10th term and a formula for the nth term. The third and eighth terms of an arithmetic sequence are 13 and 3, respectively. Determine the 1st term and the nth term. • A sequence {an} is called an arithmetic sequence if there is a real number d such that: an = an – 1 + d and an = a1 + (n – 1)dfor every positive integer n. • The number d is called the common difference of the arithmetic sequence.
11.1 Sequences Geometric Sequences Examples: The second and third terms of a geometric sequence are -6 and 12, respectively. Determine the 1st term and the formula for the nth term. • A sequence {an} is called an geometric sequence if there is a nonzero real number r such that: an = r•an – 1 and an = a1 • r n – 1 for every positive integer n. • The number r is called the common ratio of the geometric sequence.
