Topic #1: Arithmetic and Geometric Sequences Objectives: Discuss the properties of functions Recognize Arithmetic Sequences and find a common difference.

Slides:

Advertisements

Similar presentations

CN College Algebra Ch. 11: Sequences 11.3: Geometric Sequences Goals: Determine if a sequence is geometric. Find a formula for a geometric sequence. Find.

Advertisements

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Sequences And Series Arithmetic Sequences.

13.3 Arithmetic & Geometric Series. A series is the sum of the terms of a sequence. A series can be finite or infinite. We often utilize sigma notation.

11.4 Geometric Sequences Geometric Sequences and Series geometric sequence If we start with a number, a 1, and repeatedly multiply it by some constant,

Sequences and Series 13.3 The arithmetic sequence

School starts at 7:15 for EOCT testing!

Section 11-1 Sequences and Series. Definitions A sequence is a set of numbers in a specific order 2, 7, 12, …

1 Appendix E: Sigma Notation. 2 Definition: Sequence A sequence is a function a(n) (written a n ) who’s domain is the set of natural numbers {1, 2, 3,

Sequences A2/trig.

Aim: What are the arithmetic series and geometric series? Do Now: Find the sum of each of the following sequences: a)

State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

12-1 Arithmetic Sequences and Series. Sequence- A function whose domain is a set of natural numbers Arithmetic sequences: a sequences in which the terms.

Geometric Sequences and Series

THE BEST CLASS EVER…ERRR…. PRE-CALCULUS Chapter 13 Final Exam Review.

Notes Over 11.4 Infinite Geometric Sequences

Geometric Sequences and Series Unit Practical Application “The company has been growing geometrically”

SEQUENCES AND SERIES Arithmetic. Definition A series is an indicated sum of the terms of a sequence.  Finite Sequence: 2, 6, 10, 14  Finite Series:2.

ADVANCED ALG/TRIG Chapter 11 – Sequences and Series.

Objective: TSW Find the sum of arithmetic and geometric series using sigma notation.

Review for the Test Find both an explicit formula and a recursive formula for the nth term of the arithmetic sequence 3, 9, 15,……… Explicit Formula ______________________________.

13.3 – Arithmetic and Geometric Series and Their Sums Objectives: You should be able to…

Review of Sequences and Series.  Find the explicit and recursive formulas for the sequence:  -4, 1, 6, 11, 16, ….

Aim: Summation Notation Course: Alg. 2 & Trig. Do Now: Aim: What is this symbol It’s Greek to me! Find the sum of the geometric series.

11-4 INTRO TO SERIES DEFINITION A SERIES IS THE SUM OF THE TERMS OF A SEQUENCE. SEQUENCE VS. SERIES 2, 4, 8, … …

Math 3 - Module 6 Honors Topics.

Sequences and Series. Sequence There are 2 types of Sequences Arithmetic: You add a common difference each time. Geometric: You multiply a common ratio.

Sequences, Series, and Sigma Notation. Find the next four terms of the following sequences 2, 7, 12, 17, … 2, 5, 10, 17, … 32, 16, 8, 4, …

Pg. 395/589 Homework Pg. 601#1, 3, 5, 7, 8, 21, 23, 26, 29, 33 #43x = 1#60see old notes #11, -1, 1, -1, …, -1#21, 3, 5, 7, …, 19 #32, 3/2, 4/3, 5/4, …,

Homework Questions. Geometric Sequences In a geometric sequence, the ratio between consecutive terms is constant. This ratio is called the common ratio.

Ch.9 Sequences and Series Section 3 – Geometric Sequences.

13.4 Geometric Sequences and Series Example:3, 6, 12, 24, … This sequence is geometric. r is the common ratio r = 2.

Aim: What is the arithmetic series ? Do Now: Find the sum of each of the following sequences: a) b)

Section Finding sums of geometric series -Using Sigma notation Taylor Morgan.

Essential Questions Series and Summation Notation

Infinite Geometric Series Recursion & Special Sequences Definitions & Equations Writing & Solving Geometric Series Practice Problems.

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.

Sequences & Series: Arithmetic, Geometric, Infinite!

Arithmetic and Geometric Sequences. Determine whether each sequence is arithmetic, geometric, or neither. Explain your reasoning. 1. 7, 13, 19, 25, …2.

Review of Sequences and Series

13.3 Arithmetic and Geometric Series and Their Sums Finite Series.

9.3 Geometric Sequences and Series. Common Ratio In the sequence 2, 10, 50, 250, 1250, ….. Find the common ratio.

Example 1 A. Find the series 1, 3, 5, 7, 9, 11 B. Find the series 8, 13, 18, 23, 28, 33, 38.

Unit 4: Sequences & Series 1Integrated Math 3Shire-Swift.

Holt McDougal Algebra 2 Geometric Sequences and Series Holt Algebra 2Holt McDougal Algebra 2 How do we find the terms of an geometric sequence, including.

Geometric Sequences and Series

11.3 – Geometric Sequences and Series

13.3 – Arithmetic and Geometric Series and Their Sums

SEQUENCES AND SERIES.

11.3 Geometric sequences; Geometric Series

The symbol for summation is the Greek letter Sigma, S.

Aim: What is the geometric series ?

Sequences and Series.

Sigma Notation.

Sequences & Series.

Unit 1 Test #3 Study Guide.

Sequences and Series Day 7

10.2 Arithmetic Sequences and Series

Homework Lesson 8.3 Page #1-17 (EOO), (ODD),

6.8B– Sum of a Geometric Series

Notes Over 11.5 Recursive Rules

Geometric Sequences and Series

Geometric Sequences.

Module 3 Arithmetic and Geometric Sequences

Geometric Sequence Skill 38.

Homework: Explicit & Recursive Definitions of

Module 3 Arithmetic and Geometric Sequences

Warm Up Write the first 4 terms of each sequence:

Activity 19 Review Algebra 2 Honors.

Presentation transcript:

Topic #1: Arithmetic and Geometric Sequences Objectives: Discuss the properties of functions Recognize Arithmetic Sequences and find a common difference Recognize Geometric Sequences and find a common ratio Use the recursive definition to define sequences

Drill Find the following for each sequence a.the next 3 terms b.the common difference/ratio c.the recursive definition

Drill Complete Student Activity Sheet #3 Put Homework #2,#3 problems up on the back board

Drill a.Find the sum of each series: b.Write the sum using sigma notation (geometric series)

Drill a.Find the sum of each series: b.Write the sum using sigma notation (geometric series)

Drill Find the indicated sums. 1. (hint: find and d) 2. (hint: find and r)

Drill Write the formulas for the following (without referring to your notes): 1.Arithmetic sequence and series 2.Geometric sequence and series 3.Infinite Series