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Fibonacci Numbers Worksheet

Explore the fascinating world of Fibonacci numbers, their patterns, and presence in nature with this Grade 7 math worksheet.

Grade 7 Math Sequences and SeriesFibonacci Numbers
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TextFill in the BlanksMultiple ChoiceShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.7.EE.B.3CCSS.MATH.CONTENT.7.RP.A.2

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Fibonaccisequencespatternsmathgrade 7
8 sections · Free to use · Printable
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Fibonacci Numbers Exploration

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Date:

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Read each question carefully and answer to the best of your ability. Show your work where applicable.

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. The sequence begins: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

1. Write the next five numbers in the Fibonacci sequence starting from 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,  ,  ,  ,  ,  .

2. If a Fibonacci sequence starts with 1, 3, then the next three numbers would be  ,  ,  .

3. Which of the following numbers is NOT a Fibonacci number?

a

8

b

13

c

17

d

21

4. In the Fibonacci sequence, what is the sum of the 5th and 6th terms (starting with 0 as the 1st term)?

a

8

b

13

c

5

d

3

5. Explain in your own words how the Fibonacci sequence is generated.

6. The Fibonacci sequence only appears in mathematics and has no real-world applications.

T

True

F

False

The Fibonacci sequence can be found in many natural phenomena. For example, the number of petals on many flowers often follows a Fibonacci number.

7. Give an example of where the Fibonacci sequence, or a related pattern, can be observed in nature. Describe what you observe.