Fibonacci Fun!
Explore the fascinating Fibonacci sequence with this engaging worksheet designed for Grade 5 students.
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Fibonacci Fun!
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Follow the instructions for each section. Read carefully and show your work where needed.
The Fibonacci sequence is a special pattern of numbers where each number is the sum of the two numbers before it. It starts with 0 and 1. Let's explore!
1. The first two numbers in the Fibonacci sequence are 0 and 1. The next number is .
2. If the sequence is 0, 1, 1, 2, 3, , what is the next number?
Answer:
3. Complete the Fibonacci sequence up to the 10th number:
0, 1, 1, 2, 3, 5, , , ,
4. Explain in your own words how to find the next number in a Fibonacci sequence.
5. Which of these sequences follows the Fibonacci pattern?
1, 2, 3, 4, 5
0, 1, 1, 2, 3
2, 4, 6, 8, 10
1, 3, 5, 7, 9
6. Imagine a special type of rabbit population grows according to the Fibonacci sequence. If you start with one pair of baby rabbits (0, 1), how many pairs would you have after 6 months?
Show your work:
7. The Fibonacci sequence only uses even numbers.
True
False
The Fibonacci sequence appears in many places in nature, like the spirals of a sunflower or the branches of a tree!