Spot the Pattern Look for the pattern with the sequence of number and write the next 2 numbers in the pattern. 5, 8, 11, 14, 17.................. 2, 10,

Slides:

Advertisements

Similar presentations

Choi What is a Sequence? A Sequence is a set of things (usually numbers) that are arranged in order, separated by a comma, and then put curly brackets.

Advertisements

RECURSIVE FORMULAS In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts.

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

Consecutive Numbers Unit 5 – Activity 1 0, 1, 2, 4, 6, 8, 9, 11, Can you find any consecutive numbers?

Number Patterns. What are they? Number patterns are a non-ending list of numbers that follow some sort of pattern from on number to the next.

Patterns and Sequences. Patterns refer to usual types of procedures or rules that can be followed. Patterns are useful to predict what came before or.

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 AND SERIES

ARITHMETIC SEQUENCES. 7, 11, 15, 19, …… Because this sequence has a common difference between consecutive terms of 4 it is an arithmetic sequences.

12.2: Arithmetic Sequences. Position vs. value… Sequence: Notation.

SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

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.

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

Math 20-1 Chapter 1 Sequences and Series

Pg. 417/425 Homework Pg. 395#43, 60 Pg. 589#1 – 8 all, 17, 18, 21, 22.

Math Unit 5 Introduction to Ratios Cycle 51. Objective and Starter Objective: Today you will be introduced to ratios. Starter: Cycle 52.

Warm up – Arithmetic Sequences Identify the next three terms and the common difference for the following sequences: 1.)0, 5, 10, 15, 20… 2.)74, 67, 60,

Formula? Unit?.  Formula ?  Unit?  Formula?  Unit?

Sequences and Series The study of order….. Suppose you were the “Fry-Guy” at McDonalds for the summer… Summer jobs?

Warm Up State the pattern for each step.

Column Sequences An Investigation Column Sequences Look carefully at the columns shown below and the way in which the numbers are being put into each.

Patterns in Nature. Name these patterns a. b. c. d.

Topic 1 Arithmetic Sequences And Series

Math in Nature. Fibonacci Sequence in Nature The sequence begins with numbers 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and continues.

Examining Fibonacci sequence right end behaviour

Pg. 417/425 Homework Pg. 395#43, 60 Find the “derivative” of y = sin x Pg. 589#1 – 8 all, 17, 18, 21, 22 #23 #85Graph #860 < Ɵ < π #87Ɵ = = 54.72°

Leonardo Pisano Fibonacci

MATH 2160 Sequences. Arithmetic Sequences The difference between any two consecutive terms is always the same. Examples: 1, 2, 3, … 1, 3, 5, 7, … 5, 10,

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

© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 5 Number Theory and the Real Number System.

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:

Essential Questions Introduction to Sequences

+ 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,...

Geometric Sequences. Warm Up What do all of the following sequences have in common? 1. 2, 4, 8, 16, …… 2. 1, -3, 9, -27, … , 6, 3, 1.5, …..

Patterns in Sequences. Number patterns Sequences of numbers can have interesting patterns. Here we list the most common patterns and how they are made.

© T Madas What comes next and what is the name of these sequences?

Arithmetic Sequences Recognize and extend arithmetic sequences.

12 FURTHER MATHEMATICS Modelling growth and decay using recursion.

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

14.0 Math Review 14.1 Using a Calculator Calculator

Patterns and sequences We often need to spot a pattern in order to predict what will happen next. In maths, the correct name for a pattern of numbers is.

Sequences and Sums.

Patterns and sequences

Recognize and extend arithmetic sequences

Sequences Arithmetic Sequence:

4-7 Arithmetic Sequences

Patterns and Sequences

Patterns and Sequences

NUMBER PATTERNS What are the next 2 numbers in each pattern?

25 Math Review Part 1 Using a Calculator

WARM UP State the pattern for each set.

Section 11.1 Sequences.

Problems to Ponder A focus on Strategies, Collaboration, and Explanation of Solutions Math Teacher Circle May 18, 2017.

4-7 Sequences and Functions

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

Patterns and sequences

Patterns and Sequences

Dr. Fowler  CCM Patterns & Sequences Now - Next.

A presentation by Math Doodles

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.

Write the recursive and explicit formula for the following sequence

Day 1 – Recursive Patterns Notes Part 1

Recognizing and extending arithmetic sequences

Finding the nth term Example

4-7 Arithmetic Sequences

Geometric Sequences and Series

Presentation transcript:

Spot the Pattern Look for the pattern with the sequence of number and write the next 2 numbers in the pattern. 5, 8, 11, 14, , 10, 18, 26, 34, , 13, 7, 1, , 25, 16,

Introducing sequences 4, 8, 12, 16, 20, 24, 28, 32,... In maths, we call a list of numbers in order a sequence. Each number in a sequence is called a term. If terms are next to each other they are referred to as consecutive terms. When we write out sequences, consecutive terms are usually separated by commas.

What is the next term? How is the sequence being generated? What is this sequence called?

What is the next term? How is the sequence being generated? What is this sequence called?

What is the next term? How is the sequence being generated? What is this sequence called?

3, 9, 27, 81, _______ How is this sequence generated? What is the next term? Can you find the formula for this sequence? What is the next term?

1, 1, 2, 3, 5, 8, 13, ____ How is this sequence generated? What is the next term? What is this sequence called? This is a Fibonacci Sequence! What is the next term?

What are the first 5 terms of the cube numbers? Cube Numbers 1, 8, 27, 64, 125