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

Slides:

Advertisements

Similar presentations

Determine whether the sequence 6, 18, 54, is geometric. If it is geometric, find the common ratio. Choose the answer from the following :

Advertisements

11.3 – Geometric Sequences.

Lesson 4-4: Arithmetic and Geometric Sequences

Introduction to Geometric Sequences and Series

Geometric Sequences as Exponential Functions

Review for the Test Find both an explicit formula and a recursive formula for the nth term of the arithmetic sequence 3, 9, 15,……… Explicit Formula ______________________________.

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.

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

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

Acc. Coordinate Algebra / Geometry A Day 36

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

Algebra II Chapter : Use Recursive Rules with Sequences and Functions HW: p (4, 10, 14, 18, 20, 34)

2, 4, 8, 16, … 32 Exercise. 2, 4, 6, 8, … Exercise 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)

4.2B Geometric Explicit and Recursive Sequences

Review of Sequences and Series

7-8 Geometric Sequences. Geometric Sequence Problem 1: Identifying Geometric Sequence Which of the following are geometric sequences? 20, 200, 2000,

+ 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.

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

Warm Up Week 4 ( 2, 5 ) and ( 14, 1 ) 1) What is the midpoint?

Warm up Write the exponential function for each table. xy xy

Examples Sequences State the "rule" and then write the next three values in the sequence. The "rule" can be in simple language (add 5 each time, double.

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

List in order all the factors of 12. 1, 2, 3, 4, 6, 12.

Arithmetic and Geometric Sequences.

Given an arithmetic sequence with

Review Find the explicit formula for each arithmetic sequence.

4-7 Arithmetic Sequences

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

Warm up f(x) = 3x + 5, g(x) = x – 15, h(x) = 5x, k(x) = -9

Sequences and Series.

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

7-8 Notes for Algebra 1 Recursive Formulas.

11.3 – Geometric Sequences.

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

11.3 – Geometric Sequences.

Geometric Sequences Skill 50.

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

Do Now Complete the table..

Warm up f(x) = 3x + 5, g(x) = x – 15, h(x) = 5x, k(x) = -9

Arithmetic Sequences:

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.

Homework Questions.

Geometric Sequences A geometric sequence is a list of numbers with a common ratio symbolized as r. This means that you can multiply by the same amount.

Module 3 Arithmetic and Geometric Sequences

Write the recursive and explicit formula for the following sequence

Warmup Solve cos 2

Classwork: Explicit & Recursive Definitions of

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.

8.5 Using Recursive Rules with Sequences

Module 3 Arithmetic and Geometric Sequences

4-7 Arithmetic Sequences

1.6 Geometric Sequences Geometric sequence: a sequence in which terms are found by multiplying a preceding term by a nonzero constant.

Warm Up Write the first 4 terms of each sequence:

Geometric Sequences and Series

Lesson 6.7 Recursive Sequences

Warm-Up Honors Algebra 2 9/7/18

Presentation transcript:

Arithmetic and Geometric Sequences

Determine whether each sequence is arithmetic, geometric, or neither. Explain your reasoning. 1. 7, 13, 19, 25, …2. -96, -48, -24, -12, … , 66, 141, 99, …4. 3, 9, 81, 6561, …

Find the common difference for each arithmetic sequence. 5.10, 24, 38, 52, … 6.-9, -12, -15, -18, …

Find the common ratio for each geometric sequence. 7.6, -12, 24, -48, … , 96, 72, 54, …

Write a recursive formula for each sequence. 9.13, 10, 7, 4, … , 4.7, 4.8, 4.9, …

Write a recursive formula for each sequence , 5, 25, 125, 12. 2, -8, 32, -64, …

Write the explicit formula for each arithmetic sequence , 24, 35, … , -25, -44, -63, -82, …

Write the explicit formula for each geometric sequence. 15.3, -12, 48, -192, … 16. 8, -8, 8, -8, …