The Fibonacci Sequence. These are the first 9 numbers in the Fibonacci sequence. 0 1 1 2 3 5 8 13 21.

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Presentation transcript:

The Fibonacci Sequence

These are the first 9 numbers in the Fibonacci sequence

Contents page What is the Fibonacci sequence? Why is it called the Fibonacci sequence? How was the Fibonacci sequence discovered? Where is the Fibonacci sequence found in nature? What is the Fibonacci sequence? Why is it called the Fibonacci sequence? How was the Fibonacci sequence discovered? Where is the Fibonacci sequence found in nature?

What is the Fibonacci sequence The Fibonacci sequence is a set of numbers where the next number in the sequence is found by adding the previous two numbers. Eg. O + 1 = 1 the third number in the sequence, = 13 the eighth number in the sequence, =377 the fifteenth number in the sequence.

How was the Fibonacci sequence discovered It was discovered by trying to find an answer to the following question:- If you begin with one pair of rabbits on the first day of the year, how many pairs of rabbits will you have on the first day of the next year? turn over for answer

Answer to the rabbit question

Where is the Fibonacci sequence found in nature? The Fibonacci numbers are found in many places in nature number of petals on flowers growth patterns of pinecones and sunflowers.

Petals on flowers: part 1 Lily - three petals Swamp Rose-five petals

Petals on flowers Not all flowers have fibonacci sequence petals. The most popular is the four leaf clover which is known as being a sign of good luck.

Growth Patterns of Pinecones Anti Clockwise The number of spirals on the base of a pinecone is one of the Fibonacci numbers as shown in the pictures. Clockwise