Chapter 9: Spiral Growth in Nature: Fibonacci Numbers and the Golden Ratio
Warm Up



1.  

According to Binet’s formula, 9m1q1_1.gif



2.  

The two solutions of the equation 9m1q2_1.gif are



3.  

A golden rectangle has shorter side of length 200 ft. Which of the following numbers most closely represents the length of the longer side of the rectangle?



4.  

9m1q4_1.gif
The circular ring shown in Figure 6 is a gnomon to



5.  

9m1q4_1.gif
A gnomon to the circular ring shown in Figure 6 is



6.  

A gnomon to an isosceles triangle with angles 72°, 72°, 36° is



7.  

Which of the following statements is true?



8.  

The sequence 9m1q8_1.gif is defined by 9m1q8_2.gif, 9m1q8_3.gif, 9m1q8_4.gif

The relation between 9m1q8_1.gif and 9m1q8_5.gif is given by



9.  

The sequence 9m1q8_1.gif is defined by 9m1q8_2.gif, 9m1q8_3.gif, 9m1q8_4.gif
As the values of N get large, the ratios 9m1q9_1.gif approach



10.  

Which of the following statements is not true? (Select "All of the above statements are true" if the other four are true.)

Note: answer choices in this exercise are randomized.

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