Sigma Notation: The Greek letter, sigma, shown above, is very often used in mathematics to represent the sum of a series. It's a nice shorthand notation!!

Slides:



Advertisements
Similar presentations
C1: Sigma Notation For Sequences Sigma is a Greek letter. Capital sigma looks like this: Σ In Maths this symbol is used to mean ‘sum of’: add together.
Advertisements

What is the sum of the following infinite series 1+x+x2+x3+…xn… where 0
A sequence is a set of numbers arranged in a definite order
Summation Notation.  Shorthand way of expressing a sum  Uses the Greek letter sigma: ∑ k is called the index of summation n is called the upper limit.
1.4 Infinite Geometric Series Learning Objective: to explore what happens when a geometric series is infinite and to express it using sigma notation. Warm-up.
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.
9.2 Arithmetic Sequence and Partial Sum Common Difference Finite Sum.
Infinite Geometric Series. Write in 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
Aim: What are the arithmetic series and geometric series? Do Now: Find the sum of each of the following sequences: a)
9/8/2015Math SL1 - Santowski1 Lesson 30 - Summation Notation & Infinite Geometric Series Math SL1 - Santowski.
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.
ARITHMETIC SEQUENCES AND SERIES Week Commencing Monday 12 th October Learning Intention: To be able to find the sum of a series from Sigma (Σ) notation.
The sigma notation IB SL/HL. A Greek letter - in maths it translates as the sum of start term r=1 end term r=5 the sum of the first 5 terms What type.
Warm-up p 218 #3, 5, 7 and 9. Section 12-5: Sigma Notation and the n th Term In this section we will answer…  What notation can be used to indicate the.
12.1 Sequences and Series ©2001 by R. Villar All Rights Reserved.
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.
8-1: Arithmetic Sequences and Series Unit 8: Sequences/Series/Statistics English Casbarro.
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.
1 1 OBJECTIVE At the end of this topic you should be able to Define sequences and series Understand finite and infinite 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.
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.
Copyright © Cengage Learning. All rights reserved.
Series General Series (1/4) Series Notation n T n = 2n - 3 Term Number n (n must be positive) Example: Find the 12 th term 12 T 12 = 2 x =
Write the first six terms of the following sequences.
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.
ALGEBRA II INTRODUCTION TO SERIES. SERIES : The sum of part (partial) or all of the terms of a sequence. The sequence 3, 8, 13, 18 can be written.
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.
Series Adding terms of a sequence (11.4). Add sequence Our first arithmetic sequence: 2, 7, 12, 17, … What is the sum of the first term? The first two.
Warm up 1. Find the sum of : 2. Find the tenth term of the sequence if an = n2 +1: =
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.
Series Section Intro to Series Series A sum of the terms of a sequence is called a series. A series is a finite series if it is the sum of a finite.
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.
Arithmetic Series Definitions & Equations Writing & Solving Arithmetic Series Practice Problems.
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.
11.1 An Introduction to Sequences & Series By: L. Keali’i Alicea.
Copyright © Cengage Learning. All rights reserved. Sequences and Series 9.1.
Algebra 2 Arithmetic Series. Algebra 2 Series – is the expression for the sum of the terms of a sequence.
Section 13.6: Sigma Notation. ∑ The Greek letter, sigma, shown above, is very often used in mathematics to represent the sum of a series.
Warm Up DNE Sums of Infinite Series.
Copyright © 2012 Pearson Education, Inc. Publishing as Addison Wesley CHAPTER 8: Sequences, Series, and Combinatorics 8.1 Sequences and Series 8.2 Arithmetic.
Holt McDougal Algebra 2 Introduction to Sequences Holt Algebra 2Holt McDougal Algebra 2 How do we find the nth term of a sequence? How do we write rules.
The sum of the infinite and finite geometric sequence
Sequences, Series, and Probability
The symbol for summation is the Greek letter Sigma, S.
Chapter 5 Integrals.
sigma notation You should be able to…
9.1 An Introduction to Sequences & Series
The numbers in sequences are called terms.
Sequences & Series.
Section 11.1 Sequences and Series
10.2 Arithmetic Sequences and Series
61 – Sequences and Series Day 2 Calculator Required
Activity 19 Review Algebra 2 Honors.
Note: Remove o from tonight’s hw
13.3 Arithmetic & Geometric Series
Chapter 9 Section 1 (Series and Sequences)
Presentation transcript:

Sigma Notation: The Greek letter, sigma, shown above, is very often used in mathematics to represent the sum of a series. It's a nice shorthand notation!! For example is shorthand for the series starting with the first term and ending with the ninth term of 3k. That is as follows: = 3(1) + 3(2) + 3(3) + 3(4) + 3(5) + 3(6) + 3(7) + 3(8) + 3(9)

Find the sum of each finite series.

Given the series, write in sigma notation. 1.)

2.) Given the series, write in sigma notation.