Page 29 - Math 21 Module_Chapter One

21

CHECK YOUR UNDERSTANDING!

Fibonacci Sequence and the Golden Ratio

Name:__________________________________________________________ Score:_______

Course and Year:__________________ _____________________________ Date:________

A. Starting with the first Fib(1) = 1 and the second Fib (2) = 1, determine the
following?

1. Fib (15) = ___________

2. Fib (20) = ___________

3. If Fib (30) = 832, 040 and Fib (28) = 317, 811, what is Fib (29)?________

4. If Fib (24) = 46, 368 and Fib (23) = 28, 657, what is Fib (22)? ________

B. Read and solve completely.

1. If you have a wooden board that is 0.75 meters wide, how long should
you cut it such that the Golden Ratio is observed? Use 1.618 as the value
of the Golden Ratio.

2. Jefferd wants to send his picture to Jessy. He wants the picture frame to
be a golden rectangle so that he will look good in it. If Jefferd wants the
width of the frame to be 1-foot long, what should be length of the
frame? Use 1.618 as the value of the Golden Rectangle.

3. A wood that is 120 inches in length is to be cut into two parts such that
the ratio of the parts constitutes the Golden Ratio. What must be the
lengths of the wood?