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Geometric Series Exploration

Explore the patterns and properties of geometric series with this engaging worksheet for 6th graders.

Grade 6 Math Sequences and SeriesGeometric Series
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.A.2.CCCSS.MATH.CONTENT.6.RP.A.3.A

Topics

mathgrade 6geometric seriespatternssequences
7 sections · Free to use · Printable
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Geometric Series Exploration

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Date:

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Read each question carefully and follow the instructions to complete the activities. Show your work where necessary.

1. A geometric series is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common  .

2. If the common ratio is greater than 1, the terms of the series will  .

3. If the common ratio is between 0 and 1 (a fraction), the terms of the series will  .

4. What is the common ratio of the geometric series: 3, 6, 12, 24, ...?

a

1

b

2

c

3

d

4

5. What is the common ratio of the geometric series: 100, 50, 25, 12.5, ...?

a

1/4

b

1/2

c

2

d

4

6. Write the next three terms of the geometric series: 2, 8, 32, ...

7. Write the next three terms of the geometric series: 81, 27, 9, ...

8. The sequence 1, 4, 7, 10, ... is a geometric series.

T

True

F

False

9. In a geometric series, you add a constant number to get the next term.

T

True

F

False

10. A plant grows 2 cm in the first week. Each week after that, it grows twice as much as the previous week. How tall will the plant be after 4 weeks?