Fibonacci Sequence Concepts

The video introduces Fibonacci, a medieval Italian mathematician known for popularizing the Fibonacci sequence. The sequence starts with 0 and 1, with each subsequent number being the sum of the previous two. The video explains how the Fibonacci sequence approximates the golden ratio as it progresses. A programming challenge is posed to implement a function that generates the n-th term of the Fibonacci sequence, with examples provided in Python.

Who is credited with popularizing the Fibonacci numbers in the West?

• Fibonacci

• Leonardo da Vinci

• Albert Einstein

• Isaac Newton

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What are the first two numbers in the Fibonacci sequence?

• 2 and 3

• 0 and 1

• 1 and 1

• 1 and 2

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How is each subsequent number in the Fibonacci sequence determined?

• By dividing the previous two numbers

• By subtracting the previous two numbers

• By adding the previous two numbers

• By multiplying the previous two numbers

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What is the sum of the first five numbers in the Fibonacci sequence?

• 15

• 12

• 11

• 7

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What mathematical concept is closely approximated by the ratio of consecutive Fibonacci numbers?

• Pi

• Square Root of Two

• Euler's Number

• Golden Ratio

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CCSS.HSF.BF.A.2

What is the ratio of 21 to 34 in the Fibonacci sequence an approximation of?

• Golden Ratio

• Square Root of Two

• Pi

• Euler's Number

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CCSS.HSF.BF.A.2

What is the next number in the Fibonacci sequence after 21 and 34?

• 44

• 55

• 45

• 56

In the programming challenge, what should the function return for Fibonacci(0)?

• 1

• 0

• 2

• 3

What should the function return for Fibonacci(3) in the programming challenge?

• 1

• 5

• 3

• 2

In the programming challenge, what is the expected output for Fibonacci(5)?

• 13

• 5

• 8

• 3