11-3 Geometric Sequences.pdf

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11-3 Geometric Sequences.pdf

11­3 Geometric SequencesApril 22, 200911-3 Geometric SequencesObjective:Identify and generate geometric sequences.Lesson & Objective1


11­3 Geometric SequencesApril 22, 2009Check Skills You'll NeedFind the next term in each sequence.1) 1, 2, 4, 8,...2) 336, 168, 84, 42,...3) 0.1, 1, 10, 100,...4) 900, 300, 100,...Apr 15­2:52 PM2


11­3 Geometric SequencesApril 22, 2009Geometric SequenceA geometric sequence is a sequence in which the ratio ofany term to the term before it is constant.Are the following sequences arithmetic, geometric, or neither?1) 5, 15, 45, 135,... 2) 6, ­24, 96, ­384,...3) 15, 30, 45, 60,... 4) 8, 18, 30, 44,...Geometric Sequence3


11­3 Geometric SequencesApril 22, 2009(n­1)a n = a1rthn termFirst TermCommonRatioExample: 4, 12, 36, 108 ...Geometric Sequence5


11­3 Geometric SequencesApril 22, 2009Apr 22­12:57 PM6


11­3 Geometric SequencesApril 22, 2009Geometric MeanYou can find the geometric mean of any two positive numbers by takingthe positive square root of the product of the two numbers.geometric mean = √product of the two numbersYou can use the geometric mean to find a missing term of a geometric sequence.Nov 22 ­ 10:10 AM7


11­3 Geometric SequencesApril 22, 2009For each sequence find the value of x if thesequence is geometric.Ex) 20, x, 80 Ex) 5, x, 25Nov 22 ­ 10:10 AM8


11­3 Geometric SequencesApril 22, 2009HOMEWORKPage: 614#'s: 3 ­ 39 multiples of 3Nov 22 ­ 10:10 AM9

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