Fibonacci Numbers Worksheet
Explore the fascinating world of Fibonacci numbers, their sequence, properties, and connection to the golden ratio.
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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?
55
89
121
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.
True
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.
8. Explain in your own words the relationship between the Fibonacci sequence and the Golden Ratio. Provide an example.
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