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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.
12.5: 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.
Chapter 11 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.
Sections 11.3 and Review Terms Sequence An ordered list of numbers Series The sum of the terms of a sequence Term A specific number in a sequence.
8.1: 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.
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.
Sequences and Series Adaped from teacherweb.com. Introduction to Sequences and Series Sequence – 1) an ordered list of numbers. 2) a function whose.
8.1 Sequences Quick Review What you’ll learn about Defining a Sequence Arithmetic and Geometric Sequences Graphing a Sequence Limit of a Sequence.
Notes Over 11.3 Geometric Sequences An geometric sequence has a common ratio between consecutive terms. The sum of the first n terms of an geometric series.
Today in Precalculus Notes: Sequences Homework Go over quiz.
Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.
11.3 – Geometric Sequences. What is a Geometric Sequence? In a geometric sequence, the ratio between consecutive terms is constant. This ratio is called.
12.2: Analyze Arithmetic Sequences and Series HW: p (4, 10, 12, 14, 24, 26, 30, 34)
OBJECTIVES: Determine if a Sequence is Geometric Find a Formula for a Geometric Sequence Find the Sum of a Geometric Sequence Find the Sum of a Geometric.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 1 Homework, Page 728 A red die and a green die have been rolled.
Honors Precalculus Day 3 Section 11.3 Geometric Sequences The end of new material…BOO!!! 3/12/2016.
Arithmetic Sequences Sequence is a list of numbers typically with a pattern. 2, 4, 6, 8, … The first term in a sequence is denoted as a 1, the second term.
Explicit & Recursive Formulas. A Sequence is a list of things (usually numbers) that are in order. 2 Types of formulas: Explicit & Recursive Formulas.
Thursday, March 8 How can we use geometric sequences and series?
Geometric Sequence Sequences and Series. Geometric Sequence A sequence is geometric if the ratios of consecutive terms are the same. 2, 8, 32, 128, 512,...
Unit 6: Sequences & Series LG 6-1: Arithmetic & Geometric Sequences LG 6-2: Limits of Sequences LG 6-3: Partial & Infinite Series.
9.3 Geometric Sequences and Series. Common Ratio In the sequence 2, 10, 50, 250, 1250, ….. Find the common ratio.
Series Ch. 13. A series is an indicated sum of the terms of a sequence. Finite sequence: 2, 4, 6, 8 Finite series: = 20 Infinite sequence:
+ Lesson 3B: Geometric Sequences + Ex 1: Can you find a pattern and use it to guess the next term? A) 3, 9, 27, … B) 28, 14, 7, 3.5,... C) 1, 4, 9, 16,...
Arithmetic Recursive and Explicit formulas I can write explicit and recursive formulas given a sequence. Day 2.
3. When rolling 2 dice, what is the probability of rolling a a number that is divisible by 2 ? a a number that is divisible by 2 ? Quiz Michael Jordan.
Section 9-4 Sequences and Series. Sequences a sequence is an ordered progression of numbers they can be finite (a countable # of terms) or infinite (continue.
Splash Screen. Over Lesson –Minute Check 2 Write an explicit formula and a recursive formula for finding the nth term of the arithmetic sequence.
8-6: Geometric Sequences Objectives: 1.To form geometric sequences 2.To use formulas when describing geometric sequences.
ADVANCED ALG/TRIG Chapter 11 – Sequences and Series.
2-3 Geometric Sequences Definitions & Equations Writing & Solving Geometric Sequences Practice Problems.
Copyright © Cengage Learning. All rights reserved. 8.3 Geometric Sequences and Series.
Aim: What are the arithmetic series and geometric series? Do Now: Find the sum of each of the following sequences: a)
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