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Grade 8 Geometric Sequences Worksheet

This worksheet focuses on identifying, extending, and finding the nth term of geometric sequences for Grade 8 students.

Grade 8 Math Sequences and SeriesGeometric Sequences
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.A.2CCSS.MATH.CONTENT.HSF.LE.A.2
7 sections · Free to use · Printable
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Geometric Sequences

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following sequences is a geometric sequence?

a

2, 4, 6, 8, ...

b

3, 6, 12, 24, ...

c

1, 3, 5, 7, ...

d

10, 7, 4, 1, ...

2. What is the common ratio of the sequence 5, 10, 20, 40, ...?

a

2

b

5

c

10

d

40

Complete the next three terms of each geometric sequence.

3. 3, 9, 27,  ,  ,  

4. 160, 80, 40,  ,  ,  

5. Find the 6th term of the geometric sequence where the first term is 2 and the common ratio is 3.

6. A geometric sequence has a first term of 100 and a common ratio of 1/2. What is the 5th term?

7. In a geometric sequence, each term is found by adding a constant value to the previous term.

T

True

F

False

8. The formula for the nth term of a geometric sequence is a_n = a_1 * r^(n-1).

T

True

F

False

9. A bacterial colony starts with 50 bacteria and doubles every hour. How many bacteria will there be after 4 hours?