Drill #52 Graph the following equation by making a table, and plotting the points (Find at least 3 points): 1. y = ¼ x – 2 Find the x- and y- intercepts.

Slides:

Advertisements

Similar presentations

Choi 2012 Arithmetic Sequence A sequence like 2, 5, 8, 11,…, where the difference between consecutive terms is a constant, is called an arithmetic sequence.

Advertisements

OBJECTIVE We will find the missing terms in an arithmetic and a geometric sequence by looking for a pattern and using the formula.

Consecutive Integer Problems. What is a consecutive integer? Integer: natural numbers and zero Integer: natural numbers and zero Consecutive: one after.

Arithmetic Sequences and Series Unit Definition Arithmetic Sequences – A sequence in which the difference between successive terms is a constant.

Chapter 11 Sequences and Series Arithmetic Sequences.

4.7: Arithmetic sequences

 What are the next three terms in each sequence?  17, 20, 23, 26, _____, _____, _____  9, 4, -1, -6, _____, _____, _____  500, 600, 700, 800, _____,

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

Section 11.2 Arithmetic Sequences

4.7 Arithmetic Sequences A sequence is a set of numbers in a specific order. The numbers in the sequence are called terms. If the difference between successive.

Analyzing Arithmetic Sequences and Series Section 8.2 beginning on page 417.

Geometric Sequences Section

Bellwork:  Determine whether each of the following is Arithmetic (something was added each time), Geometric ( something was multiplied each time), or.

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.

EXAMPLE 2 Write a rule for the nth term a. 4, 9, 14, 19,... b. 60, 52, 44, 36,... SOLUTION The sequence is arithmetic with first term a 1 = 4 and common.

Arithmetic Sequences and Series. A sequence is arithmetic if each term – the previous term = d where d is a constant e.g. For the sequence d = 2 nd term.

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

Lesson 1-9 Algebra: Arithmetic Sequences

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

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…

Warm Up State the pattern for each step.

Standard 22 Identify arithmetic sequences Tell whether the sequence is arithmetic. a. –4, 1, 6, 11, 16,... b. 3, 5, 9, 15, 23,... SOLUTION Find the differences.

Drill #61 Find the slope of the line that passes through each pair of points: 1.( 6, -4 ), ( 8, -7 ) 2.( 8, 5 ), ( 8, -1) Determine the value of r so that.

Substitution Method Critical Thinking Skill: Explicitly assess information and draw conclusions Sometimes using the graphing method can be problematic.

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…

COMMON CORE STANDARDS for MATHEMATICS FUNCTIONS: INTERPRETING FUNCTIONS (F-IF) F-IF3. Recognize that sequences are functions, sometimes defined recursively.

Drill #54 1. Find the next 4 terms in the sequence: -5, -9, -13, -17, … 2. Write an equation for the nth term in the series above. 3.Find the 100 th term.

Arithmetic and Geometric Sequences Finding the nth Term 2,4,6,8,10,…

Arithmetic Sequences & Series. Arithmetic Sequence: The difference between consecutive terms is constant (or the same). The constant difference is also.

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

Drill #22 Solve each equation using multiplication: 1. ¾ x =

Drill Complete 2-1 Word Problem Practice #1 – 4 in your groups. 1 group will be chosen to present each problem.

12.2, 12.3: Analyze Arithmetic and Geometric Sequences HW: p (4, 10, 12, 18, 24, 36, 50) p (12, 16, 24, 28, 36, 42, 60)

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.

Arithmetic Sequences Recognize and extend arithmetic sequences.

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.

Recognize and extend arithmetic sequences

4-7 Arithmetic Sequences

Warm Up Identify the slope and y-intercept of each equation. Then graph. 1. Y = -5X X + 5Y = X = Y = 12.

11.2 Arithmetic Sequences & Series

Arithmetic Sequences and Series

5.3 Arithmetic Series (1/5) In an arithmetic series each term increases by a constant amount (d) This means the difference between consecutive terms is.

4.7: Arithmetic sequences

1.7 - Geometric sequences and series, and their

AM7.1a To Identify an Arithmetic or Geometric Sequence and to Define Sequences and Series (Be ready to copy as soon as the bell rings! Pay careful.

WARM UP State the pattern for each set.

Grade 11 Functions (MCR3U)

Sequence: A list of numbers in a particular order

12.2A Arithmetic Sequences

3-4: Arithmetic Sequences

4-7 Sequences and Functions

Lesson 3-6 Arithmetic Sequences

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.

GEOMETRIC SEQUENCES Recognize and extend geometric sequences.

Lesson 3-6 Arithmetic Sequences

4.9 – arithmetic sequences

Lesson 4.6 Review: Writing Equations in Slope-Intercept Form

Got ID? & AM7.1a To Identify an Arithmetic or Geometric Sequence and to Define Sequences and Series (Get the note taking guide from the.

Warm-Up Write the first five terms of an = 4n + 2 a1 = 4(1) + 2

Got ID? & AM7.1a To Identify an Arithmetic or Geometric Sequence and to Define Sequences and Series (Get the note taking guide from the.

Drill #76 Write the equation of the line (in Slope-Intercept Form) passing through the following point with the given slope: 1. m = 4, (2, 3) 2. m =

Recognizing and extending arithmetic sequences

4-7 Arithmetic Sequences

GEOMETRIC SEQUENCES Recognize and extend geometric sequences.

Presentation transcript:

Drill #52 Graph the following equation by making a table, and plotting the points (Find at least 3 points): 1. y = ¼ x – 2 Find the x- and y- intercepts of the following equations: 2.x + 2y = 6 3.4x - 2y = 10 Graph the following equation by finding the x and y intercepts: 4. x – y = 2

Drill # Skills Practice, #1-11 (ODD)

3-4 Arithmetic Sequences Objective: To recognize arithmetic sequences and to extend and write formulas for arithmetic sequences. Open books to page 165.

(1.) Sequence, (2.) terms, (3.) Arithmetic Sequence ** (1.) Sequence: A set of numbers (called terms) in a specific order. (2.) Terms: one of the numbers in a sequence (3.) Arithmetic Sequence: A sequence in which the difference between consecutive terms is constant

Identify Arithmetic Sequences* Ex 1a, 1b: Ex 1A, 1B: Check your progress

Writing Arithmetic Sequences* Each term in arithmetic sequence can be found by adding the common difference, d, to the preceding term. Ex 2: Ex2: Check your progress

Finding the nth term* TermSymbolAlgebraic Expression Example 1 st term8 2 nd term8 + 1(3)=11 3 rd term8+2(3) = 14 4 th term8+3(3) = 17 ………… Nth term8+(n-1)(3)

The nth term of an Arithmetic Sequence* The nth term of an arithmetic sequence with first term is given by: Where d is the common difference

Real World Example* Ex 3a, b, c: Shipping Ex 3A, B, C: Check your progress

Find the nth Term* Ex: 3-4 Study Guide, #13 Classwork: 3-4 Skill Practice #15, 17

Critical Thinking! What if … The first term in arithmetic sequence is 4, and the 20 th term is 194. What is the 10 th term? Think… What formula should you use? What variables do you know?