Data Page

1, 1, 2, 3, 5, 8, 13, 21, 34, ...

  1. In the fibonacci sequence above, what is the next number?
  2. How did you find that number?
  3. State the rule for forming this sequence.

Extra Credit:

Write this rule in the form of an equation.

Now return to Discovery Page 1.

Length of Sides of Squares

Recorder, write the sizes of each of the squares in the spaces below.

 

Square 1  

Square 2

  
Square 3  
Square 4  
Square 5  
Square 6  
Square 7  
Square 8  
Square 9  
Square 10  

 

Compare this sequence of square sizes with the sequence of fibonacci numbers. Discuss you observations with your group.

Recorder, write the group's answers to the following questions:
  1. What did the group observe?
  2. What did the group conclude about the observations?
  3. Explain why this might be.
  4. How many squares have you drawn?
  5. How did you draw them?
  6. Is there an end to this sequence?
  7. Is there an end to fibonacci numbers?

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