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Infinite Sequences Limits of Infinite Sequences Arithmetic and Geometric Sequences Sequences and Graphing Calculators … and why Infinite sequences, especially those with finite limits, are involved in some key concepts of calculus.
Given the sequence −2, 1, 4, 7, … find (a) the common difference (b) the tenth term (c) a recursive rule for the nth term (d) an explicit rule for the nth term.
Given the sequence 2, 6, 18, … Find (a) the common ratio (b) the tenth term (c) a recursive rule for the nth term (d) an explicit rule for the nth term
One way to graph a explicitly defined sequences is as scatter plots of the points of the form (k,a k ). A second way is to use the sequence mode on a graphing calculator.
Create a scatter plot: Sequence mode:
Text pg739 (Pg746/747 old edition) Exercises # 2-24 even
13.4 Geometric Sequences and Series Example:3, 6, 12, 24, … This sequence is geometric. r is the common ratio r = 2.
8.2 Arithmetic Sequences and Series 8.3 Geometric Sequences and Series
Arithmetic and Geometric Sequences. Determine whether each sequence is arithmetic, geometric, or neither. Explain your reasoning. 1. 7, 13, 19, 25, …2.
Algebra II Chapter : Use Recursive Rules with Sequences and Functions HW: p (4, 10, 14, 18, 20, 34)
8.1: Sequences Greg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 2008 Craters of the Moon National Park, Idaho.
12.2, 12.3: Analyze Arithmetic and Geometric Sequences HW: p (4, 10, 12, 18, 24, 36, 50) p (12, 16, 24, 28, 36, 42, 60)
Sequences and Series It’s all in Section 9.4a!!!.
9.1 Sequences. A sequence is a list of numbers written in an explicit order. n th term Any real-valued function with domain a subset of the positive integers.
Copyright © 2011 Pearson, Inc. 9.4 Day 1 Sequences Goals: Find limits of convergent sequences.
Homework Questions. Geometric Sequences In a geometric sequence, the ratio between consecutive terms is constant. This ratio is called the common ratio.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 1 Homework, Page 715 Expand the binomial using a calculator to find.
Sequences & Series: Arithmetic, Geometric, Infinite!
+ 8.4 – Geometric Sequences. + Geometric Sequences A sequence is a sequence in which each term after the first is found by the previous term by a constant.
9.3 Geometric Sequences and Series. 9.3 Geometric Sequences A sequence is geometric if the ratios of consecutive terms are the same. This common ratio.
Unit 4: Sequences & Series 1Integrated Math 3Shire-Swift.
Geometric Sequences and Series
Sequences/Series BOMLA LACYMATH SUMMER Overview * In this unit, we’ll be introduced to some very unique ways of displaying patterns of numbers known.
THE BEST CLASS EVER…ERRR…. PRE-CALCULUS Chapter 13 Final Exam Review.
Sequences and Series (T) Students will know the form of an Arithmetic sequence. Arithmetic Sequence: There exists a common difference (d) between each.
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