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Fibonacci Numbers Worksheet

Explore the fascinating world of Fibonacci numbers, their sequence, properties, and connection to the golden ratio.

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Grade 11 Math Sequences and SeriesFibonacci Numbers
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Includes

2 TextFill in the BlanksMultiple Choice3 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.A.1CCSS.MATH.CONTENT.HSF.IF.A.3

Topics

Fibonaccisequencesseriesgolden ratiomath
10 sections · Free to use · Printable
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Fibonacci Numbers Worksheet

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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.

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. The first two numbers in the standard Fibonacci sequence are   and  .

2. The 7th term in the Fibonacci sequence (starting with F0 = 0, F1 = 1) is  .

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

a

55

b

89

c

121

d

144

4. List the first 10 Fibonacci numbers, starting with F0 = 0 and F1 = 1.

5. The ratio of consecutive Fibonacci numbers approaches the Golden Ratio (approximately 1.618) as the numbers get larger.

T

True

F

False

6. If a pair of rabbits (one male, one female) are placed in a field, and they produce a new pair of offspring every month starting from their second month, how many pairs of rabbits will there be after 6 months? Assume rabbits never die and each new pair consists of one male and one female.

7. Plot the first 7 Fibonacci numbers (starting from F0=0) on the number line below.

012345678910

8. Explain in your own words the relationship between the Fibonacci sequence and the Golden Ratio. Provide an example.

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