10 min Assignment: Fibonacci Sequence Exploration

SUUUUPER EASY I just do not have time.

 

 

Assignment: Fibonacci Sequence Exploration
In this assignment, you will explore the Fibonacci sequence in greater depth by making and testing
hypotheses about its construction.
1. Write the first ten terms of the Fibonacci sequence 2. Find the sum of the first ten terms of the Fibonacci sequence that you generated in problem 1.
Divide the sum by 11. What do you notice? 3. Choose two numbers other than 1 and 1. The numbers do not have to be equal. Generate a
Fibonacci-like sequence, beginning with these two numbers. Write the first ten terms of your
sequence.
For example, you could choose the numbers 5 and 6 and the first two numbers. The third term
would be 11 (5 + 6), the fourth term would be 17 (6 + 11), and so on. Do NOT use 5 and 6 as
your first two terms. 4. Find the sum of the sequence you created in problem 3. Divide the sum by 11. What do you
notice? © K12 Inc. 5. Make a hypothesis. What is special about the sum on the first ten terms of any Fibonacci-like
sequence? 6. Create another Fibonacci-like sequence beginning with two different numbers than you chose in
problem 3. Do NOT use 5 and 6 as your first two terms. Write the first ten terms of your
sequence. Does the hypothesis you wrote in problem 5 apply to this sequence? © K12 Inc.

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