Geometric Sequences Definitions & Equations

Slides:

Advertisements

Similar presentations

Geometric Sequences.

Advertisements

11.3: Geometric Sequences & Series

Last Time Arithmetic SequenceArithmetic Series List of numbers with a common difference between consecutive terms Ex. 1, 3, 5, 7, 9 Sum of an arithmetic.

11.3 Geometric Sequences.

2-1 Arithmetic Sequences Definitions & Equations Writing & Solving Arithmetic Sequences Practice Problems.

Notes Over 11.3 Geometric Sequences

2-3 Geometric Sequences Definitions & Equations

EXAMPLE 2 Write a rule for the nth term Write a rule for the nth term of the sequence. Then find a 7. a. 4, 20, 100, 500,... b. 152, –76, 38, –19,... SOLUTION.

 Find the next three terms in each sequence:  5, 15, 45, 135, _____, _____, _____  0.5, 2, 8, 32, _____, _____, _____  -32, 16, -8, 4, _____, _____,

A sequence is geometric if the ratios of consecutive terms are the same. That means if each term is found by multiplying the preceding term by the same.

Geometric Sequences and Series

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

Geometric Sequences as Exponential Functions

Chapter 8: Exponents & Exponential Functions 8.6 Geometric Sequences.

Geometric Sequences.

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

Chapter 11 Sequences, Induction, and Probability Copyright © 2014, 2010, 2007 Pearson Education, Inc Geometric Sequences and Series.

9.3 Geometric Sequences and Series. 9.3 Geometric Sequences A sequence is geometric if the ratios of consecutive terms are the same. This common ratio.

11.3 Geometric Sequences & Series. What is a geometric sequence? What is the rule for a geometric sequence? How do you find the nth term given 2 terms?

12.3 – Analyze Geometric Sequences and Series. Geometric Sequence: Ratio of any term to the previous term is constant Common Ratio: Ratio each term is.

+ 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 Sequence Sequences and Series. Geometric Sequence A sequence is geometric if the ratios of consecutive terms are the same. 2, 8, 32, 128, 512,...

+ 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.

Sequences Arithmetic Sequence:

11.3 Geometric Sequences & Series

Homework Check.

Sequences and Series IB standard

Geometric Sequences.

11.3 Geometric Sequences & Series

Geometric Sequences and Series

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

Arithmetic and Geometric Sequences

Patterns and Sequences

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Geometric Sequences Part 1.

Arithmetic & Geometric Sequences

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

Arithmetic & Geometric Sequences

11.3 – Geometric Sequences.

Sequences Day 6 Happy Thursday!!.

11.3 Geometric Sequences.

Geometric Sequence The ratio of a term to it’s previous term is constant. This means you multiply by the same number to get each term. This number that.

12.3 Geometric Sequences & Series

9-3 Geometric Sequences & Series

Geometric Sequences.

Geometric sequences.

Coordinate Algebra Day 54

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

10.2 Arithmetic Sequences and Series

9.3 Geometric Sequences and Series

Homework Check.

Sequences and Series Geometric sequence..

Geometric Sequences.

Arithmetic Sequences:

Geometric Sequences.

Geometric sequences.

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

Homework Check.

Geometric Sequence The ratio of a term to it’s previous term is constant. This means you multiply by the same number to get each term. This number that.

9.3 Geometric Sequences & Series

Welcome Is the number 27 a term in the sequence represented by the explicit formula an = 4n – 1? Is the number 97 a term in the sequence represented by.

Geometric Sequences and series

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

Questions over HW?.

Warm-up *Quiz Tomorrow*

Arithmetic & Geometric Sequences

Presentation transcript:

Geometric Sequences 1 2 3 Definitions & Equations Writing & Solving Geometric Sequences 3 Practice Problems

Definitions Geometric Sequence A sequence in which each term after the first is found by multiplying the previous term by a constant Common Ratio (r) The constant each term is multiplied by in a geometric sequence

nth Term of an Geometric Sequence

Finding the Next Term Find the next term in the geometric sequence: 8, 20, 50, 125, ?

Finding a Particular Term Find the eighth term of a geometric sequence for which a1 = -3, and r = -2

Write an Equation for the nth Term Write an equation for the nth term of the geometric sequence 3, 12, 48,192…

Find a Term Given the Fourth Term and the Ratio Find the tenth term of a geometric sequence for which a4 = 108, and r = 3

Finding Geometric Means Find three geometric means between 2.25 and 576.