Page 24 - Math 21 Module_Chapter One
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                          The Fibonacci sequence has interesting and mysterious properties. Aside
                   from  the  fact  that  the  sequence  is  very  visible  in  nature,  the  ratios  of  the
                   successive Fibonacci numbers approach to the number phi (Φ), also known
                   as the golden ratio which is approximately equal to 1.618.



                          The golden ratio was first called as the Divine Proportion in the early 1500s
                   in Leonardo da Vinci’s work which was explored by Luca Pacioli entitled “De
                   Divina Proportione” in 1509.



                          The golden ratio (Φ) is the ratio between two numbers, a and b where
                   a is greater than b, if it is also the ratio between the sum and the larger of the
                   two numbers as in the equation below.

                                                                      b           a             a/b

                           +                                                      3              1.5
                      =      =    =   .                   ….
                                  
                                                                      3           5        1.666666666…

                                                                      5           8              1.6

                                                                      8          13            1.625

                                                                     13          21        1.615384615...

                                                                     21          34           1.61905

                                                                     34          55           1.61765

                                                                      .           .               .

                                                                      .           .               .


                                                                    144          233       1.618055556...
                                                                    233          377       1.618025751...
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