Sigma Notation. SUMMATION NOTATION Lower limit of summation (Starting point) Upper limit of summation (Ending point) SIGMA  equation.

Slides:

Advertisements

Similar presentations

Arithmetic Series Vocabulary series: the sum of the indicated terms in a sequence arithmetic series: the sum of an arithmetic sequence.

Advertisements

Warm UP! 1.Indentify the following as Arithmetic, Geometric, or neither: a.2, 5, 8, 11, … b.b. 2, 6, 24, … c.c. 5, 10, 20, 40, … 2. Demonstrate you know.

The sum of the infinite and finite geometric sequence

Special Sum The First N Integers. 9/9/2013 Sum of 1st N Integers 2 Sum of the First n Natural Numbers Consider Summation Notation ∑ k=1 n k =

Arithmetic Sequences and Series

9.2 Arithmetic Sequence and Partial Sum Common Difference Finite Sum.

Introduction to Arithmetic Sequences 18 May 2011.

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

Factorial Notation For any positive integer n, n! means: n (n – 1) (n – 2)... (3) (2) (1) 0! will be defined as equal to one. Examples: 4! = =

Math 71B 11.1 – Sequences and Summation Notation 1.

Section Summation & Sigma Notation. Sigma Notation  is the Greek letter “sigma” “Sigma” represents the capital “S”

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.

12.5 Sigma Notation and the nth term

Arithmetic Series. A series is the expression for the sum of the terms of a sequence. SequenceSeries 6, 9, 12, 15, , 7, 11, 15,

By Sheldon, Megan, Jimmy, and Grant..  Sequence- list of numbers that usually form a pattern.  Each number in the list is called a term.  Finite sequence.

Sigma Notation A compact way of defining a series A series is the sum of a sequence.

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.

Pamela Leutwyler. Summation notation is an efficient way to describe a SUM of terms, each having the same format. Consider the example: Each term has.

13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.

Aim: What is the summation notation?

Notes Over 11.1 Sequences and Series A sequence is a set of consecutive integers. A finite sequence contains a last term Infinite sequences continue without.

U SING AND W RITING S EQUENCES The numbers (outputs) of a sequence are called terms. sequence You can think of a sequence as a set of numbers written in.

4.7 Define & Use Sequences & Series. Vocabulary  A sequence is a function whose domain is a set of consecutive integers. If not specified, the domain.

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

Sequences and Series On occasion, it is convenient to begin subscripting a sequence with 0 instead of 1 so that the terms of the sequence become.

9.1 Sequences and Series. A sequence is a collection of numbers that are ordered. Ex. 1, 3, 5, 7, …. Finding the terms of a sequence. Find the first 4.

Arithmetic and Geometric Series: Lesson 43. LESSON OBJECTIVE: 1.Find sums of arithmetic and geometric series. 2.Use Sigma Notation. 3.Find specific terms.

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, …

Lesson 8.1 Page #1-25(EOO), 33, 37, (ODD), 69-77(EOO), (ODD), 99, (ODD)

Sequence – a function whose domain is positive integers. Section 9.1 – Sequences.

Sequences and Summations

Review Write an explicit formula for the following sequences.

Arithmetic Series 19 May Summations Summation – the sum of the terms in a sequence {2, 4, 6, 8} → = 20 Represented by a capital Sigma.

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

MATHPOWER TM 12, WESTERN EDITION Chapter 6 Sequences and Series.

Lesson 10.1, page 926 Sequences and Summation Notation Objective: To find terms of sequences given the nth term and find and evaluate a series.

Copyright © 2011 Pearson, Inc. 9.5 Series Goals: Use sigma notation to find the finite sums of terms in arithmetic and geometric sequences. Find sums of.

SEQUENCES OBJECTIVES: Write the first several terms of a sequence Write the terms of a sequence defined by a Recursive Formula Use Summation Notation Find.

A sequence is a set of numbers in a specific order

4.2 Area Definition of Sigma Notation = 14.

Algebra II Honors Problem of the Day Homework: p odds Find the first 6 terms of the sequence defined as: Fibonacci!

11.2 Arithmetic Series. What is a series?  When the terms of a sequence are added, the indicated sum of the terms is called a series.  Example  Sequence.

Arithmetic Sequences and Series Section Objectives Use sequence notation to find terms of any sequence Use summation notation to write sums Use.

5-4: Sigma Notation Objectives: Review sigma notation ©2002 Roy L. Gover

 A sequence is a function whose domain is a set of consecutive integers. If a domain is not specified, it is understood that the domain starts with 1.

9.1 Series Objectives: Understand Notation!! Reading the language and symbols which ask you to add the terms of a sequence.

The sum of the infinite and finite geometric sequence

Review Write an explicit formula for the following sequences.

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

Bellwork Find the next two terms of each sequence.

Finite Differences.

Arithmetic Sequences and Series

Sigma Notation.

ANATOMY OF SIGMA: summation notation

Sequences & Series.

Series and Summation Notation

10.2 Arithmetic Sequences and Series

Lesson 3-1 Geometric Series

Sigma/Summation Notation

12.2: Arithmetic Sequences

Find the 300th term of the sequence an = 3 Select the correct answer.

9.1: Introduction to Sequences

Sequences and Summation Notation

Warm Up Write an explicit formula for the following sequences.

Summation Notation.

61 – Sequences and Series Day 2 Calculator Required

Chapter 9 Section 1 (Series and Sequences)

Presentation transcript:

Sigma Notation

SUMMATION NOTATION Lower limit of summation (Starting point) Upper limit of summation (Ending point) SIGMA  equation

Find the sum

Writing a sequence in Sigma notation Find the equation (dn+c) Find what n gives you the 1 st term (set dn+c =to 1 st term) Find out what n gives you the last term (set dn+c =to last term) Fill them appropriately into

What is the difference? What is the first term? What is the last term? Find the equation

….+ 76 What is the difference? What is the first term? What is the last term? Which term is 76?

– 2 – 14…. –182 What is the difference? What is the first term? What is the last term? 22