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The Fibonacci sequence is an numerical pattern ? a series of numbers where a number is found by ____________________ up the two numbers ____________________ it . The sequence appears in many settings in mathematics and in other sciences .

Mathematicians have learned to use Fibonacci ? s sequence to describe certain shapes that appear in ____________________ . These shapes are called ____________________ ____________________ , and Nautilus ____________________ are one example . You also see logarithmic spiral shapes in spiral ____________________ , and in many ____________________ such as sunflowers . Some plants branch in such a way that they always have a Fibonacci number of growing points . Flowers often have a Fibonacci number of ____________________ , daisies can have 34 , 55 or even as many as 89 petals .

It was described by Leonardo ____________________ , ____________________ mathematician better known as Fibonacci , who also popularized Hindu - Arabic ____________________ ____________________ in Western system .