STEM Quiz (Grades 3-6): Fibonacci Sequence
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Question 1 of 13
1. Question
What is the rule for the Fibonacci numbers:
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Question 2 of 13
2. Question
Fill in the blank
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Ask your parents to fill in the next three numbers. 1, 1, 2, 3, 5, 8, , , .
They probably won’t know to use the Fibonacci Sequence rule
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Hint: Add the previous 2 numbers.
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Question 3 of 13
3. Question
Answer the question
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Imagine that we started the Fibonacci sequence with 2. Then it would go 2, 2, 4, 6, 10. What would the next term be?
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Question 4 of 13
4. Question
Fill in the blank
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What comes next in the Fibonacci Sequence? … 233, 377,
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Question 5 of 13
5. Question
Fill in the blank
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What if we changed the rule so that to get the next number, you add the previous THREE numbers. Fill in the next number of this sequence (called the Tribonacci Sequence): 1, 1, 2, 4, 7,
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Question 6 of 13
6. Question
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1300 years ago, the Fibonacci sequence was discovered by Indian mathematicians. It was brought to the west in 1202 by Leonardo of Pisa, aka Fibonacci, who was also for bringing Hindu-Arabic numerals to Europe.
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A 11 letter word starting with “res”, meaning: deserving to be blamed or credited for something; in charge of someone or something. Still have no idea? Click the audio hint below:
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Question 7 of 13
7. Question
How does the Fibonacci Sequence show up in nature?
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Question 8 of 13
8. Question
The ratio between numbers next to each other in the Fibonacci sequence is known as the:
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Question 9 of 13
9. Question
The Golden Ratio was perhaps used by ancient Greeks to:
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Question 10 of 13
10. Question
The Fibonacci sequence also relates dividing up a rectangle into congruent rectangles (rectangles with the same ratios)…”Golden Rectangles” How are these rectangles related to nature?
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Question 11 of 13
11. Question
Fill in the blank
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What if we changed the rule so that to get the next number, you add the previous four numbers. This is called the 4-Bonacci sequence. What is the 7th number of this sequence (assume that it starts at 1)?
Write out the first 7 terms on a piece of paper first.
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Hint: the 6th number is 15
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Question 12 of 13
12. Question
What if we changed the rule so that to get the next number, you add the previous five numbers. This is called the 5-Bonacci sequence. What are the first 7 numbers in this sequence (starting with 1)?
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Hint: (Note) Do you recognize the first 6 numbers?
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Question 13 of 13
13. Question
Fill in the blank
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What if we changed the rule so that to get the next number, you add all previous numbers. This is called the infinacci sequence. The number 512 appears in this sequence. What comes after it?
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Hint: write out the first 10 terms of the sequence and think about the pattern you see. It turns out that the infinacci sequence is something very familiar.
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