Turn in your Fall break Packet to the basket. Find the next/missing numbers in each pattern. 1.1,,5,7,,… 2.2,4,6,8,,,,… 3.1,3,9,27,,… 4.1,-3,9,-27,__,…

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.

13.2 Arithmetic & Geometric Sequences Today’s Date: 5/1/14.

BELLRINGER: The graph below represents Maria’s distance from home one day as she rode her bike to meet friends and do a couple of errands for her mom before.

Concept: Geometric Sequences

Warm Up Find the nth term of the sequence 3, 6, 9, 12, … (Hint: what is the pattern?) Find the 11 th term.

A geometric sequence is a list of terms separated by a constant ratio, the number multiplied by each consecutive term in a geometric sequence. A geometric.

Geometric Sequences Section

2-3 Geometric Sequences Definitions & Equations

Warm up Write the explicit formula , 15, -75, 375, … 2. 1, 6, 36, 216, … 3. 16, 6, -4, -14, … 4. 13, 11, 9, 7, …

Sequences and Series It’s all in Section 9.4a!!!.

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

Find each sum:. 4, 12, 36, 108,... A sequence is geometric if each term is obtained by multiplying the previous term by the same number called the common.

Geometric Sequences as Exponential Functions

Chapter 8: Exponents & Exponential Functions 8.6 Geometric Sequences.

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…

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

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

Acc. Coordinate Algebra / Geometry A Day 36

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

Warm up Find the domain and range of the following graphs.

Daily Check 1)Find the first 3 terms of the following sequence: 2)Write the formula for the following arithmetic sequence. -2, 1, 4, 7, 10.

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)

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

Arithmetic and Geometric Sequences. Determine whether each sequence is arithmetic, geometric, or neither. Explain your reasoning. 1. 7, 13, 19, 25, …2.

+ 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.

Geometric Sequence: each term is found by multiplying the previous term by a constant.

8-5 Ticket Out Geometric Sequences Obj: To be able to form geometric sequences and use formulas when describing geometric sequences.

End Behavior Figuring out what y-value the graph is going towards as x gets bigger and as x gets smaller.

Warm Up: On a sheet of paper Write the explicit formula for the sequence.

Agenda:  Warm-Ups  Notes  Study Guide  What’s on the test on Thursday / Friday?

Arithmetic and Geometric Sequences.

Given an arithmetic sequence with

Chapter 13: Sequences and Series

1. Sequences Practice Questions (Pearson Chapter 3) Ex 3.2: 11, 12 p85

Geometric Sequences and Series

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

3.5 Arithmetic Sequences as Linear Functions

AKS 67 Analyze Arithmetic & Geometric Sequences

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

Pay it Forward Video Clip

Sequences F.LE.1, 2, 5 F.BF.1, 2 A.SSE.1.a F.IF.1, 2, 3, 4

7-8 Notes for Algebra 1 Recursive Formulas.

Sequences F.LE.1, 2, 5 F.BF.1, 2 A.SSE.1.a F.IF.1, 2, 3, 4

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

11.3 – Geometric Sequences.

Geometric Sequences Definitions & Equations

Geometric Sequences.

Geometric Sequence A sequence of terms that have a common ratio between them.

Coordinate Algebra Day 54

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

Sequences F.LE.1, 2, 5 F.BF.1, 2 A.SSE.1.a F.IF.1, 2, 3, 4

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

Warm up Emma had $1 this morning and asked her mom for another. Instead, her mom said she would give Emma $2 the next day if she still had the dollar.

Warm up Write an exponential function that has a start value of 6 and a common ratio of For a school project you were given $500 and were told.

Homework Questions.

Warm up What is the tenth term of an = 2n + 3?

Module 3 Arithmetic and Geometric Sequences

Unit 3: Linear and Exponential Functions

10/31/12 Recognizing patterns Describe the growth pattern of this sequence of blocks. Illustrate the sequences of blocks for 4, 5, and 6. Try creating.

Homework: Explicit & Recursive Definitions of

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

Questions over HW?.

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

Module 3 Arithmetic and Geometric Sequences

Warm-up *Quiz Tomorrow*

Geometric Sequences and Series

Presentation transcript:

Turn in your Fall break Packet to the basket. Find the next/missing numbers in each pattern. 1.1,__,5,7,__,… 2.2,4,6,8,__,__,__,… 3.1,3,9,27,__,… 4.1,-3,9,-27,__,… 5.240,__,60,__,15,…

Coordinate Algebra UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems? Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5 Today’s Question: What is a Sequence? Is a sequence a function? Can you find the nth term and the domain of a sequence? Standard: MCC9 ‐ 12.R.IF.3

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

Geometric Sequence A sequence of terms that have a common ratio between them

Arithmetic or Geometric? Example 1 : -22, -15, -8, -1, … Arithmetic d = 7

Arithmetic or Geometric? Example 2 : 256, 64, 16, 4, … Geometric r = 1/4

Arithmetic or Geometric? Example 3 : 7, 4, 1, -2, -5 Arithmetic d = -3

Arithmetic or Geometric? Example 4 : NEITHER

Arithmetic or Geometric? Example 5 : NEITHER

Explicit Formula Formula used to find the n th term of a sequence

Explicit Formula for Arithmetic Sequence

Explicit Formula for Geometric Sequence

Find the common difference/ratio, the explicit formula, and the tenth term. 3, 9, 15, 21, … a n = 6n – 3 d = 6 a 10 = 57

Find the common difference/ratio, the explicit formula, and the seventh term. 3, 1.5, 0.75, 0.375, …

The fifth term is 1,792. The constant ratio is 4. Write the explicit formula.

Homework Sequence Practice WS