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

Slides:

Advertisements

Similar presentations

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.

Advertisements

Arithmetic Sequences Finding the nth Term. Arithmetic Sequences A pattern where all numbers are related by the same common difference. The common difference.

11.3 – Geometric Sequences.

SECTION 7.2 ARITHMETIC SEQUENCES. (a) 5, 9, 13, 17, 21,25 (b) 2, 2.5, 3, 3.5, 4, 4, (c) 8, 5, 2, - 1, - 4, - 7 Adding 4 Adding.5 Adding - 3 Arithmetic.

Arithmetic Sequences (Recursive Formulas). Vocabulary sequence – a set of numbers in a specific order. terms – the numbers in the sequence. arithmetic.

Section 9.2 Arithmetic Sequences. OBJECTIVE 1 Arithmetic Sequence.

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

Sullivan Algebra and Trigonometry: Section 13.2 Objectives of this Section Determine If a Sequence Is Arithmetic Find a Formula for an Arithmetic Sequence.

Arithmetic Sequences Explicit Formula.

ARITHMETIC SEQUENCES. (a) 5, 9, 13, 17, 21,25 (b) 2, 2.5, 3, 3.5, 4, 4, (c) 8, 5, 2, - 1, - 4, - 7 Adding 4 Adding.5 Adding - 3 Arithmetic Sequences.

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

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…

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

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

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

Arithmetic Sequence- a sequence/pattern in which each term after the first term is found by adding/subtracting a constant, called a common difference,

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

Coordinate Algebra Arithmetic and Geometric Sequences Learning Target: Students can use the explicit formula to find the n th term of a sequence.

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

+ Lesson 3B: Geometric Sequences + Ex 1: Can you find a pattern and use it to guess the next term? A) 3, 9, 27, … B) 28, 14, 7, 3.5,... C) 1, 4, 9, 16,...

+ 8.4 – Geometric Sequences. + Geometric Sequences A sequence is a sequence in which each term after the first is found by the previous term by a constant.

Arithmetic Sequences Recognize and extend arithmetic sequences.

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

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.

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

Geometric Sequences Types of sequences When you are repeatedly adding or subtracting the same value to/from the previous number to get the next.

Given an arithmetic sequence with

Recognize and extend arithmetic sequences

4-7 Arithmetic Sequences

Warm-up 1. Find 3f(x) + 2g(x) 2. Find g(x) – f(x) 3. Find g(-2)

11.2 Arithmetic Sequences.

3.5 Arithmetic Sequences as Linear Functions

Warm Up Complete the table… Recursive Formula Sequence

Arithmetic Sequences Explicit Formulas.

Sequences and Series.

Patterns & Sequences Algebra I, 9/13/17.

7-8 Notes for Algebra 1 Recursive Formulas.

Arithmetic Sequences.

WARM UP State the pattern for each set.

11.3 – Geometric Sequences.

Warm up Write the exponential function for each table. x y x

Geometric Sequences.

Coordinate Algebra Day 54

Warm Up 1. Find 3f(x) + 2g(x) 2. Find g(x) – f(x) 3. Find g(-2)

Geometric Sequences.

Notes Over 11.5 Recursive Rules

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

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

Section 12.1 Sequences and Section 12.2 Arithmetic Sequences

4.9 – arithmetic sequences

The nth term, Un Example If we are given a formula for Un (th nth term) where find the first five terms of the sequence Un = 3n + 1.

Module 3 Arithmetic and Geometric Sequences

Write the recursive and explicit formula for the following sequence

Classwork: Explicit & Recursive Definitions of

All of these images have something in common.

Questions over HW?.

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

Does each term increase/decrease by the same added amount each time?

Module 3 Arithmetic and Geometric Sequences

Finding the nth term Example

4-7 Arithmetic Sequences

Warm Up Write the first 4 terms of each sequence:

Warm-up *Quiz Tomorrow*

Introduction to Arithmetic Sequences

Homework Questions.

Presentation transcript:

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

Arithmetic or Not? Example: -22, -15, -8, -1, … Arithmetic d = 7

Arithmetic or Not? Example: 1, 8, 27, 64, Not Arithmetic

Arithmetic or Not? Example: 7, 4, 1, -2, -5 Arithmetic d = -3

Arithmetic or Not? Example: Not Arithmetic

Recursive Formula Formula used to find the next term of the sequence

Recursive Formula for Arithmetic Sequence

Find the common difference, the recursive formula, and the fourth term. 3, 9, 15, 21, …

Find the common difference, the recursive formula, and the fourth term. 5, 11, 17, 23 …

Use the recursive formula to find the 6th term of the sequence.

Use the recursive formula to find the 1st term and the 10th term of the sequence.

Explicit (Closed Formula) Formula used to find the nth term of a sequence

Explicit (Closed) Formula for Arithmetic Sequence

Find the common difference, the explicit formula, and the tenth term. 3, 9, 15, 21, … d = an = a10 =

Find the common difference, the explicit formula, and the 25th term. 10, 8, 6, … d = an = a25 =