Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 8.1 Sequences.

Slides:



Advertisements
Similar presentations
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.6 Graphs of the Sine and Cosine Functions.
Advertisements

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Modeling and Optimization Section 4.4.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.4 Modeling and Optimization.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.6 Related Rates.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 1.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Extreme Values of Functions Section 4.1.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Derivatives of Exponential and Logarithmic Functions Section 3.9.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Chain Rule Section 3.6.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 5.4 Fundamental Theorem of Calculus.
8.1 Sequences Quick Review What you’ll learn about Defining a Sequence Arithmetic and Geometric Sequences Graphing a Sequence Limit of a Sequence.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 2.2 Limits Involving Infinity.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.3 Connecting f ’ and f ” with the graph of f.
Copyright © 2011 Pearson, Inc. 6.6 De Moivre’s Theorem and nth Roots.
Copyright © 2011 Pearson, Inc. 9.2 The Binomial Theorem.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Antiderivatives and Slope Fields Section 6.1.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Linearization and Newton’s Method Section 4.5.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 8.2 L’Hôpital’s Rule.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Fundamental Theorem of Calculus Section 5.4.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 3.4 Library of Functions; Piecewise-defined Functions.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 3.9 Derivatives of Exponential and Logarithmic Functions.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Rules for Differentiation Section 3.3.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadratic Equations.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 7.4 Lengths of Curves.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 6.3 Antidifferentiation by Parts.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 2.3 Product and Quotient Rules for Differentiation.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 2.3 Continuity.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Derivatives of Trigonometric Functions Section 3.5.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 2.1 Rates of Change and Limits.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 9.5 Testing Convergence at Endpoints.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 6.5 Logistic Growth.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Mean Value Theorem Section 4.2.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 5.5 Trapezoidal Rule.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Areas in the Plane Section 7.2.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.3 Complex Numbers Quadratic Equations in the Complex Number System.
Copyright © 2011 Pearson, Inc. 9.4 Day 1 Sequences Goals: Find limits of convergent sequences.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.4 Logarithmic Functions.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 1 Quick Review.
Copyright © 2011 Pearson, Inc. 3.3 Logarithmic Functions and Their Graphs.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 5.1 Polynomial Functions and Models.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 7.1 Integral As Net Change.
The Inverse Trigonometric Functions (Continued)
Sinusoidal Curve Fitting
Section 9.1 Polar Coordinates
Section R.8 nth Roots; Rational Exponents
Building Exponential, Logarithmic, and Logistic Models from Data
Section 2.4 Circles Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Equations Quadratic in Form Absolute Value Equations
Section 8.3 The Law of Cosines
Section 11.8 Linear Programming
Equations Quadratic in Form Absolute Value Equations
Copyright © 2008 Pearson Prentice Hall Inc.
Copyright © 2008 Pearson Prentice Hall Inc.
9.4 Sequences.
Section 2.2 The Graph of a Function
Section 2.2 The Graph of a Function
Mathematical Models: Building Functions
Copyright © 2008 Pearson Prentice Hall Inc.
Copyright © 2008 Pearson Prentice Hall Inc.
Partial Fraction Decomposition
Section 3.2 The Graph of a Function
Sinusoidal Curve Fitting
Quadratic Equations in the Complex Number System
Partial Fraction Decomposition
Properties of Rational Functions
Module 3 Arithmetic and Geometric Sequences
Copyright © 2008 Pearson Prentice Hall Inc.
Copyright © 2008 Pearson Prentice Hall Inc.
The Inverse Trigonometric Functions (Continued)
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Presentation transcript:

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 8.1 Sequences

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 2 Quick Review

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 3 Quick Review

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 4 Quick Review Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 5 Quick Review Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 6 What you’ll learn about Defining a Sequence Arithmetic and Geometric Sequences Graphing a Sequence Limit of a Sequence …and why Sequences arise frequently in mathematics and applied fields.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 7 Defining a Sequence

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 8 Example Defining a Sequence Explicitly

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 9 Example Defining a Sequence Recursively

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Arithmetic Sequence

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Defining Arithmetic Sequences

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Geometric Sequence

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Defining Geometric Sequences

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Constructing a Sequence

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Graphing a Sequence Using Parametric Mode

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Graphing a Sequence Using Sequence Graphing Mode

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Graphing a Sequence Using Sequence Graphing Mode

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Limit

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Properties of Limits

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Finding the Limit of a Sequence

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide The Sandwich Theorem for Sequences

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Absolute Value Theorem