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Algebra Geometric Sequences Lessons

Algebra Geometric Sequences Lessons

Assessment

Presentation

•

Mathematics

•

10th - 12th Grade

•

Hard

Created by

Joseph Anderson

FREE Resource

7 Slides • 15 Questions

1

GEOMETRIC SEQUENCE

Slide image

2

 GEOMETRIC SEQUENCE

Examples :
 2, 6, 18, 542,\ 6,\ 18,\ 54  , ...

 −1, −6, −36, −216-1,\ -6,\ -36,\ -216  

 12,14,18,116\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16}  

Slide image

3

GEOMETRIC SEQUENCE

Examples:

 2, 2, 2, 2,2,\ 2,\ 2,\ 2,  

 −2, 4, −8, 16, −32, ...-2,\ 4,\ -8,\ 16,\ -32,\ ...  


 100, 50, 25, ...100,\ 50,\ 25,\ ...  

Slide image

4

Multiple Choice

Determine whether the given sequence is geometric sequence.

3, 6, 9, 12, 15, ...

1

It is a geometric sequence.

2

It is not a geometric sequence.

5

Multiple Choice

Determine whether the given sequence is geometric sequence.

−1, −5, −25, −125-1,\ -5,\ -25,\ -125  

1

It is a geometric sequence.

2

It is not a geometric sequence.

6

Multiple Choice

Determine whether the given sequence is geometric sequence.


2, 8, 32,1282,\ 8,\ 32,128  

1

It is a geometric sequence.

2

It is not a geometric sequence.

7

Multiple Choice

Determine whether the given sequence is geometric sequence.


−6, −4, −2, 0-6,\ -4,\ -2,\ 0  

1

It is a geometric sequence.

2

It is not a geometric sequence.

8

Multiple Choice

Determine whether the given sequence is geometric sequence.


3, 15, 75, 375

1

It is a geometric sequence.

2

It is not a geometric sequence.

9

GEOMETRIC SEQUENCE


 2, 6, 18, 54, ...2,\ 6,\ 18,\ 54,\ ...  

 r=62 ; r =186; r =5418r=\frac{6}{2}\ ;\ r\ =\frac{18}{6};\ r\ =\frac{54}{18}  

 r = 3r\ =\ 3  

Slide image

10

GEOMETRIC SEQUENCE


 −1, −6, −36, −216-1,\ -6,\ -36,\ -216  

 r=−6−1 ; r =−36−6; r =−216−36r=\frac{-6}{-1}\ ;\ r\ =\frac{-36}{-6};\ r\ =\frac{-216}{-36}  

 r = 6r\ =\ 6  

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11

GEOMETRIC SEQUENCE


 400, 200, 100, 50, 25400,\ 200,\ 100,\ 50,\ 25  

 r=200400 ; r =100200; r =50100r=\frac{200}{400}\ ;\ r\ =\frac{100}{200};\ r\ =\frac{50}{100}  

 r = 12r\ =\ \frac{1}{2}  

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12

Fill in the Blanks

Determine the common ratio of the given geometric sequence


−3, −6, −12, −24-3,\ -6,\ -12,\ -24  



Type answer...

13

Fill in the Blanks

Determine the common ratio of the given geometric sequence


3, −6, 12, −243,\ -6,\ 12,\ -24  



Type answer...

14

Fill in the Blanks

Determine the common ratio of the given geometric sequence


64, 32, 16, 864,\ 32,\ 16,\ 8  



Type answer...

15

Fill in the Blanks

Determine the common ratio of the given geometric sequence


10, 20, 40, 8010,\ 20,\ 40,\ 80  



Type answer...

16

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

2, 4, 8, 16

1

GEOMETRIC SEQUENCE

2

ARITHMETIC SEQUENCE

17

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

4, 10, 16, 22

1

GEOMETRIC SEQUENCE

2

ARITHMETIC SEQUENCE

18

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

15,24,33,42,...

1

GEOMETRIC SEQUENCE

2

ARITHMETIC SEQUENCE

19

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

3, −6, 12, −24, ...3,\ -6,\ 12,\ -24,\ ...  

1

GEOMETRIC SEQUENCE

2

ARITHMETIC SEQUENCE

20

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

2, 1, 12,142,\ 1,\ \frac{1}{2},\frac{1}{4}  

1

GEOMETRIC SEQUENCE

2

ARITHMETIC SEQUENCE

21

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

2, 10, 50, 250, ...2,\ 10,\ 50,\ 250,\ ...  

1

GEOMETRIC SEQUENCE

2

ARITHMETIC SEQUENCE

22

THANK YOU!!!

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GEOMETRIC SEQUENCE

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