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Geometric Series

Geometric Series

Geometric Series

Geometric Series

Presentation

•

Mathematics

•

10th Grade

•

Hard

Created by

James Gonzalez

FREE Resource

29 Slides • 20 Questions

1

Lesson 1.5 Geometric Series

Michelle P. Bales

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2

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3

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4

Fill in the Blanks

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How many individuals were infected in all after three days?

Type answer...

5

Fill in the Blanks

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If the pattern continues, how many individuals were infected in all after five days?

Type answer...

6

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7

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8

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9

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10

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11

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12

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13

Fill in the Blanks

EXERCISE 1: Find the sum.

1)4 + 2 + 1 + … ; S₈

Use / for the fraction bar

Type answer...

14

Fill in the Blanks

EXERCISE 1: Find the sum.

2) a1 =3, r= 3; S₅

Use / for the fraction bar

Type answer...

15

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16

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17

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18

Poll

How much did you get in Exercise 1?

19-23

14-18

0-13

19

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20

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21

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22

Multiple Choice

EXERCISE 2:
Tell whether the sum of the following geometric series exist.

1)

\frac{1}{2}+\frac{1}{3}+\ \frac{2}{9}+\ \frac{4}{27}+...

1

It Exists

2

It Does Not Exists.

23

Multiple Choice

EXERCISE 2:
Tell whether the sum of the following geometric series exist.

2)

(-7)+7+(-7)+7+(-7)+…

1

It Exists

2

It Does Not Exists.

24

Multiple Choice

EXERCISE 2:
Tell whether the sum of the following geometric series exist.

3)

160+80+40+20+…

1

It Exists

2

It Does Not Exists.

25

Multiple Choice

EXERCISE 2:
Tell whether the sum of the following geometric series exist.

4)

-2+6+(-18)+54+…

1

It Exists

2

It Does Not Exists.

26

Multiple Choice

EXERCISE 2:
Tell whether the sum of the following geometric series exist.

5)

1+\frac{1}{2}+\frac{1}{4}+\ \frac{1}{8}+\ ...

1

It Exists

2

It Does Not Exists.

27

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28

Poll

How much did you get in Exercise 2?

8-10

6-7

0-5

29

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30

Fill in the Blanks

EXERCISE 3: Find the sum of the following infinite geometric series.

1)

\frac{1}{2}+\frac{1}{3}+\ \frac{2}{9}+\ \frac{4}{27}+...

Use / for the fraction bar.

Type answer...

31

Fill in the Blanks

EXERCISE 3: Find the sum of the following infinite geometric series.

1) 160 + 80 + 40 + 20+ …

Use / for the fraction bar.

Type answer...

32

Fill in the Blanks

EXERCISE 3: Find the sum of the following infinite geometric series.

3)

1+\frac{1}{2}+\frac{1}{4}+\ \frac{1}{8}+...

Use / for the fraction bar.

Type answer...

33

Fill in the Blanks

EXERCISE 3: Find the sum of the following infinite geometric series.

1) 160 + 80 + 40 + 20+ …

Use / for the fraction bar.

Type answer...

34

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35

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36

Poll

How much did you get in Exercise 3?

20-24

15-19

0-14

37

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38

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39

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40

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41

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43

Fill in the Blanks

EXERCISE 4: Find the sum of the following.

1) $\sum_1^{15}7n$

Type answer...

44

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45

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46

Poll

How much did you get in Exercise 4?

15-18

11-14

0-10

47

Poll

Which part of the lesson is the hardest?

Determining if the sum of an infinite geometric series exists.

Finding the sum of a finite geometric series

Finding the sum of an infinite geometric series

Summation Notation

None

48

Open Ended

Do you have questions or clarifications regarding the lesson today?

Type response here

49

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pattern-tertiary

Lesson 1.5 Geometric Series

Michelle P. Bales

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