Ch.9 Sequences and Series

Slides:

Advertisements

Similar presentations

Recursive and Explicit Formulas for Arithmetic (Linear) Sequences.

Advertisements

I can identify and extend patterns in sequences and represent sequences using function notation. 4.7 Arithmetic Sequences.

Arithmetic Sequences Notes. Definitions Sequence is a set of numbers arranged in a particular order. Term is one of the set of numbers in a sequence.

Arithmetic Sequences and Series

Section 11.2 Arithmetic Sequences

Arithmetic Sequences and Partial Sums

ARITHMETIC SEQUENCES AND SERIES

11.3 – Geometric Sequences.

Sequences and Series 13.3 The arithmetic sequence

Section 9.2 Arithmetic Sequences. OBJECTIVE 1 Arithmetic Sequence.

Describe the pattern in each sequence. 10, 8, 6, 4, 2, ….. 100, 117, 134, 151, 168, …. 5/7, 8/7, 11/7, 2.

Section 7.2 Arithmetic Sequences Arithmetic Sequence Finding the nth term of an Arithmetic Sequence.

Geometric Sequences and Series

Arithmetic Sequences Standard: M8A3 e. Use tables to describe sequences recursively and with a formula in closed form.

8-1: Arithmetic Sequences and Series Unit 8: Sequences/Series/Statistics English Casbarro.

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.

Homework Questions. Number Patterns Find the next two terms, state a rule to describe the pattern. 1. 1, 3, 5, 7, 9… 2. 16, 32, 64… 3. 50, 45, 40, 35…

Section 12-1 Sequence and Series

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

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

Homework Questions. Number Patterns Find the next two terms, state a rule to describe the pattern. 1. 1, 3, 5, 7, 9… 2. 16, 32, 64… 3. 50, 45, 40, 35…

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

Unit 5 – Series, Sequences, and Limits Section 5.2 – Recursive Definitions Calculator Required.

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

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

Se quences Recursive Definition Ch. 13 (2). Warm Up Find the first 4 terms of the sequence. State whether it is arithmetic, geometric or neither

Lesson 3A: Arithmetic Sequences Ex 1: Can you find a pattern and use it to guess the next term? A) 7, 10, 13, 16,... B) 14, 8, 2, − 4,... C) 1, 4, 9,

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.

LEQ: How do you evaluate or find explicit formulas for arithmetic sequences?

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

Section 8.2 Arithmetic Sequences & Partial Sums. Arithmetic Sequences & Partial Sums A sequence in which a set number is added to each previous term is.

Section 9.2 Arithmetic Sequences and Partial Sums 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.

Arithmetic Sequences & Partial Sums

Arithmetic and Geometric Sequences.

Given an arithmetic sequence with

Review Find the explicit formula for each arithmetic sequence.

4-7 Arithmetic Sequences

11.2 Arithmetic Sequences.

Warm Up Complete the table… Recursive Formula Sequence

Sequences and Series.

constant difference. constant

Recursive and Explicit Formulas for Arithmetic (Linear) Sequences

Recursive and Explicit Formulas for Arithmetic (Linear) Sequences

Chapter 12 – Sequences and Series

WARM UP State the pattern for each set.

11.3 – Geometric Sequences.

Geometric Sequences.

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

Recursive and Explicit Formulas for Arithmetic (Linear) Sequences

Arithmetic Sequence A sequence of terms that have a common difference between them.

Module 3 Arithmetic and Geometric Sequences

Write the recursive and explicit formula for the following sequence

Lesson 12–3 Objectives Be able to find the terms of an ARITHMETIC sequence Be able to find the sums of arithmetic series.

Classwork: Explicit & Recursive Definitions of

Homework: Explicit & Recursive Definitions of

Arithmetic Sequence A sequence of terms that have a common difference between them.

Unit 1 – Section 4 “Recursive and Explicit Formula” Part 2

Arithmetic Sequence A sequence of terms that have a common difference (d) between them.

Recursive and Explicit Formulas for Arithmetic (Linear) Sequences

8-2 Analyzing Arithmetic Sequences and Series

Module 3 Arithmetic and Geometric Sequences

4-7 Arithmetic Sequences

Warm Up Write the first 4 terms of each sequence:

Activity 19 Review Algebra 2 Honors.

Arithmetic & Geometric Sequences

Geometric Sequences and Series

Homework Questions.

Presentation transcript:

Ch.9 Sequences and Series Section 2 – Arithmetic Sequences

Definition: Arithmetic Sequence A sequence where the difference between consecutive terms is constant. This difference is the common difference. a, a + d, a + 2d, a +3d,…

Formulas Recursive: initial condition recursive formula Explicit:

EXamples Is the sequence an arithmetic sequence? 1.) 3,6,9,12,15,… 2.) 1,4,9,16,25,…

EXamples What is the 100th term of the sequence beginning with 6, 11, …?

EXample What are the second and third terms of the arithmetic sequences 100, __, __, 82,…

Definition: Arithmetic Mean The average of two numbers and . In an arithmetic sequence, the middle term of any three consecutive terms is the arithmetic of the other two terms.

EXample What is the missing term of the arithmetic sequence …, 15, __, 59, …?

EXample The numbers of seats in the first 13 rows in the section of an arena form an arithmetic sequence. Row 1 has 14 seats, row 2 has 16 seats. How many seats are in row 13?