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Grade 11 Geometric Sequences Worksheet

This worksheet focuses on understanding and applying the concepts of geometric sequences for Grade 11 students.

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Grade 11 Math Sequences and SeriesGeometric Sequences
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSF.BF.A.2CCSS.MATH.CONTENT.HSF.IF.A.3

Topics

mathgeometric sequencessequences and seriesgrade 11
7 sections · Free to use · Printable
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Geometric Sequences Worksheet

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Date:

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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, 2, 3, 4, ...

d

10, 7, 4, 1, ...

2. What is the common ratio of the geometric sequence 81, 27, 9, 3, ...?

a

3

b

1/3

c

-3

d

-1/3

3. The general formula for the nth term of a geometric sequence is a_n = a_1 * r^( )

4. If the common ratio of a geometric sequence is 1, then the sequence is a   sequence.

5. Find the 7th term of a geometric sequence where the first term is 5 and the common ratio is 2.

6. The third term of a geometric sequence is 18 and the sixth term is 486. Find the common ratio and the first term.

7. A geometric sequence can have a common ratio of zero.

T

True

F

False

8. The sum of an infinite geometric series converges if the absolute value of the common ratio is greater than 1.

T

True

F

False

9. A culture of bacteria doubles every hour. If there are initially 50 bacteria, how many bacteria will there be after 6 hours? Write the formula for the nth term and then calculate the number of bacteria.

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