- 1. Leonardo Fibonacci, an Italian mathematician born around 1170 in the Republic of Pisa, is best known for introducing the famous Fibonacci sequence to the Western world through his 1202 book 'Liber Abaci'. The sequence itself is formed by starting with the numbers 0 and 1, and each subsequent number is the sum of the two preceding ones, creating a series that goes 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on. Fibonacci's work in 'Liber Abaci' was revolutionary as it advocated for the use of the Hindu-Arabic numeral system, which eventually replaced the Roman numeral system in Europe due to its efficiency in calculations. The Fibonacci numbers have profound implications across various fields such as mathematics, computer science, art, and nature, where they exhibit remarkable properties related to the golden ratio. For instance, the ratio of consecutive Fibonacci numbers approaches the golden ratio (approximately 1.618) as the numbers increase, illustrating a fascinating connection between mathematics and the aesthetics of natural phenomena, such as the arrangement of leaves in plants (phyllotaxis) and the branching of trees. Fibonacci's legacy continues to be celebrated in various domains, proving the timeless relevance of his contributions to mathematics.
Who is credited with introducing the Fibonacci sequence to the Western world?
A) Isaac Newton
B) Euclid
C) Leonardo Fibonacci
D) Pythagoras
- 2. What is the next number in the Fibonacci sequence after 1, 1, 2, 3, 5?
A) 6
B) 10
C) 13
D) 8
- 3. In which century did Fibonacci introduce the Fibonacci sequence?
A) 13th
B) 11th
C) 15th
D) 17th
- 4. What is the golden ratio, often associated with Fibonacci numbers?
A) 1.414
B) 2.718
C) 3.142
D) 1.618
- 5. What is the 20th number in the Fibonacci sequence?
A) 233
B) 514229
C) 6765
D) 10946
- 6. How many Fibonacci numbers are needed to calculate the next number in the sequence?
A) 4
B) 2
C) 1
D) 3
- 7. Which mathematical concept is closely related to the Fibonacci numbers?
A) Linear regression
B) Derivative
C) Golden ratio
D) Quadratic equation
- 8. What is the Fibonacci number following 144?
A) 233
B) 377
C) 89
D) 159
- 9. What is the 9th Fibonacci number?
A) 13
B) 21
C) 34
D) 55
- 10. When did Leonardo Fibonacci write the famous book 'Liber Abaci'?
A) 1275
B) 1202
C) 1150
D) 1300
- 11. What is the 15th number in the Fibonacci sequence?
A) 610
B) 1597
C) 4181
D) 987
- 12. Which number comes before 89 in the Fibonacci sequence?
A) 233
B) 144
C) 55
D) 34
- 13. What is the 18th number in the Fibonacci sequence?
A) 2584
B) 6765
C) 987
D) 4181
- 14. What is the sum of the squares of the first 5 Fibonacci numbers?
A) 40
B) 30
C) 35
D) 50
- 15. Who was Leonardo Fibonacci?
A) Greek philosopher
B) Italian mathematician
C) French artist
D) German scientist
- 16. What is the next number in the Fibonacci Sequence after 13?
A) 24
B) 18
C) 15
D) 21
- 17. What is the 12th number in the Fibonacci Sequence?
A) 144
B) 377
C) 233
D) 89
- 18. Which famous book introduced the Fibonacci Sequence to Western mathematics?
A) The Republic
B) The Elements
C) Liber Abaci
D) The Divine Comedy
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