15 MCQs on Fibonacci Day with Answers for Social Work Students

Embark on a journey to Fibonacci Day with these 15 engaging multiple choice questions, specially curated for social work students. Test your understanding of the Fibonacci sequence, its applications, and its significance in various fields.

1. What is Fibonacci Day?

• A. January 1st
• B. November 23rd
• C. March 14th
• D. October 31st
• Answer: B. November 23rd

2. Why is November 23rd celebrated as Fibonacci Day?

• A. Leonardo Fibonacci's birthday
• B. Discovery of the Fibonacci sequence
• C. International Mathematics Day
• D. World Fibonacci Appreciation Day
• Answer: A. Leonardo Fibonacci's birthday

3. What is the Fibonacci sequence?

• A. 1, 2, 4, 8, 16, ...
• B. 0, 1, 1, 2, 3, 5, ...
• C. 2, 4, 6, 8, 10, ...
• D. 3, 6, 9, 12, 15, ...
• Answer: B. 0, 1, 1, 2, 3, 5, ...

4. In the Fibonacci sequence, each number is the sum of the two preceding ones. What is the next number after 5?

• A. 8
• B. 9
• C. 10
• D. 7
• Answer: A. 8

5. What is the golden ratio, often associated with the Fibonacci sequence?

• A. 1.618
• B. 2.5
• C. 0.5
• D. 3.14
• Answer: A. 1.618

6. Which of the following best describes the relationship between consecutive Fibonacci numbers as they approach infinity?

• A. Converge to a specific value
• B. Diverge to infinity
• C. Alternate between odd and even
• D. Remain constant
• Answer: A. Converge to a specific value

7. How many Fibonacci numbers are prime within the first 20 numbers in the sequence?

• A. 2
• B. 3
• C. 4
• D. 5
• Answer: B. 3

8. Which of the following is not an application of the Fibonacci sequence in the real world?

• A. Financial modeling
• B. Computer algorithms
• C. Botany and plant growth patterns
• D. Time travel calculations
• Answer: D. Time travel calculations

9. What is the 12th number in the Fibonacci sequence?

• A. 89
• B. 144
• C. 233
• D. 377
• Answer: C. 233

10. What is the term for the phenomenon where Fibonacci numbers appear in various natural patterns, such as the arrangement of leaves on a stem or the spiral arrangement of seeds in a sunflower?

• A. Fibonacci Convergence
• B. Golden Growth
• C. Nature's Code
• D. Phyllotaxis
• Answer: D. Phyllotaxis

11. In the Fibonacci sequence, what is the sum of the first 10 numbers?

• A. 45
• B. 55
• C. 65
• D. 75
• Answer: B. 55

12. What is the product of the first five prime Fibonacci numbers?

• A. 300
• B. 600
• C. 900
• D. 1200
• Answer: A. 300

13. Which famous mathematician introduced the Fibonacci sequence to the Western world in his book "Liber Abaci"?

• A. Euclid
• B. Pythagoras
• C. Archimedes
• D. Leonardo Fibonacci
• Answer: D. Leonardo Fibonacci

14. What is the relationship between the Fibonacci sequence and the Lucas sequence?

• A. They are identical.
• B. They have no mathematical relationship.
• C. Each term in the Lucas sequence is the sum of the previous two terms in the Fibonacci sequence.
• D. The Lucas sequence is a reversed version of the Fibonacci sequence.
• Answer: C. Each term in the Lucas sequence is the sum of the previous two terms in the Fibonacci sequence.

15. Which of the following mathematical constants is related to the Fibonacci sequence and represents the limiting ratio of successive Fibonacci numbers?

• A. Euler's number (e)
• B. Pi (π)
• C. The imaginary unit (i)
• D. The golden ratio (φ)
• Answer: D. The golden ratio (φ)