Sequences & Series. Sequence: A function whose domain is a set of consecutive integers. The domain gives the relative position of each term of the sequence:

Slides:

Advertisements

Similar presentations

Unit 3 Part C: Arithmetic & Geometric Sequences

Advertisements

4.7: Arithmetic sequences

Series NOTES Name ____________________________ Arithmetic Sequences.

Understanding 8.1… Use sigma notation to write the sum of.

Unit 7: Sequences and Series. Sequences A sequence is a list of #s in a particular order If the sequence of numbers does not end, then it is called an.

Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.

Sequences and Series 13.3 The arithmetic sequence

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,

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

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

Copyright © 2011 Pearson Education, Inc. Slide Sequences A sequence is a function that has a set of natural numbers (positive integers) as.

Copyright © 2011 Pearson Education, Inc. Sequences Section 8.1 Sequences, Series, and Probability.

Sequences Definition - A function whose domain is the set of all positive integers. Finite Sequence - finite number of values or elements Infinite Sequence.

SFM Productions Presents: Another action-packet episode of “Adventures inPre-Calculus!” 9.1Sequences and Series.

Arithmetic Sequences How do I define an arithmetic sequence and how do I use the formula to find different terms of the sequence?

9.2 Arithmetic Sequences. Objective To find specified terms and the common difference in an arithmetic sequence. To find the partial sum of a arithmetic.

Aim: What is the arithmetic sequence? Do Now: Find the first four terms in the sequence whose n th term is 4n + 3. HW: p.256 # 4,5,6,8,10,12,16,18,19,20.

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,

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.

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.

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

Aim: What is the geometric sequence?

Sequences & Series Section 13.1 & Sequences A sequence is an ordered list of numbers, called terms. The terms are often arranged in a pattern.

Chapter 11 Sequences, Induction, and Probability Copyright © 2014, 2010, 2007 Pearson Education, Inc Sequences and Summation Notation.

1 © 2010 Pearson Education, Inc. All rights reserved © 2010 Pearson Education, Inc. All rights reserved Chapter 10 Further Topics in Algebra.

Arithmetic Sequences How do I define an arithmetic sequence and how do I use the formula to find different terms of the sequence?

Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.

Geometric Sequences & Series

Standard Accessed: Students will analyze sequences, find sums of series, and use recursive rules.

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.

9.1 Sequences and Series. Definition of Sequence  An ordered list of numbers  An infinite sequence is a function whose domain is the set of positive.

For the sequence, describe the pattern and write the next term. 1.) 1, 6, 11, 16 2.) -4, 8, -12, 16 3.) 1.2, 4.2, 9.2, 16.2.

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.

Algebra 1 cc Function 4 Evaluate and write arithmetic sequences Recall: A function is relation in which each element of the domain is paired with exactly.

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.

Sequences and Series Adaped from teacherweb.com. Introduction to Sequences and Series  Sequence – 1) an ordered list of numbers. 2) a function whose.

8.2 – Arithmetic Sequences. A sequence is arithmetic if the difference between consecutive terms is constant Ex: 3, 7, 11, 15, … The formula for arithmetic.

Ch. 10 – Infinite Series 9.1 – Sequences. Sequences Infinite sequence = a function whose domain is the set of positive integers a 1, a 2, …, a n are the.

Arithmetic Recursive and Explicit formulas I can write explicit and recursive formulas given a sequence. Day 2.

Unit 9: Sequences and Series. Sequences A sequence is a list of #s in a particular order If the sequence of numbers does not end, then it is called an.

Pre-Calculus Section 8.1A Sequences and Series. Chapter 8: Sequences, Series, and Probability Sequences and series describe algebraic patterns. We will.

8.1 – Sequences and Series. Sequences Infinite sequence = a function whose domain is the set of positive integers a 1, a 2, …, a n are the terms of the.

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

 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.

Essential Question: How do you find the nth term and the sum of an arithmetic sequence? Students will write a summary describing the steps to find the.

Ch. 8 – Sequences, Series, and Probability

Sequences, Series, and Probability

12.1 – Arithmetic Sequences and Series

Consecutive Number Equations

11.3 Geometric sequences; Geometric Series

Sect.R10 Geometric Sequences and Series

Warm-up Problems Consider the arithmetic sequence whose first two terms are 3 and 7. Find an expression for an. Find the value of a57. Find the sum of.

Aim: What is the geometric series ?

Section 11.1 Sequences and Series

Aim: What is the sequence?

Sequences and Series.

4n + 2 1st term = 4 × = 6 2nd term = 4 × = 10 3rd term

Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.

9.1: Introduction to Sequences

Warm Up Look for a pattern and predict the next number or expression in the list , 500, 250, 125, _____ 2. 1, 2, 4, 7, 11, 16, _____ 3. 1, −3,

Sequences and Summation Notation

SEQUENCES More free powerpoints at

8.1 Defining and Using Sequences and Series

Unit 4 Lesson 1 Sequences and Series.

10.1 Sequences and Summation Notation

Presentation transcript:

Sequences & Series

Sequence: A function whose domain is a set of consecutive integers. The domain gives the relative position of each term of the sequence: 1 st, 2 nd, 3 rd, and so on. The range gives the terms of the sequence. Finite Sequence: A sequence that has a last term. Infinite Sequence: A sequence that continues without stopping.

1. Multiples of 5 2. Increases by 5 3. Double previous term 4. Perfect cubes 5. Perfect cubes +1

Recursive Formula: A formula that allows any term of a sequence, except the first, to be computed from the previous term.