Those Fascinating Fibonaccis!

Fibonacci asked, “How many pairs of rabbits will there be after one year?”  The diagram shows the results of the first six months.

Month	Diagram of Pairs of Rabbits	Number of Pairs
1 Jan.		1
1 Feb.		1
1 Mar.		2
1 Apr.		3
1 May.		5
1 Jun.		8
1 Jul.	?	?

 

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Complete the diagram and find the number of pairs of rabbits on 1 July. Look at the sequence of the number of pairs of rabbits.  How many pairs will there be on 1 August? The sequence of numbers generated in this rabbit diagram is called the Fibonacci sequence.  Any number in this sequence is called a Fibonacci number. Continue the terms in the Fibonacci sequence: 1; 1; 2; 3; 5; 8; ___; ___; ___; ___; ___;… Answer Fibonacci original question:  How many pairs of rabbits will there be after one year? If x and y are two consecutive terms in the Fibonacci sequence, write an expression for the next term: ___________________________ Fibonacci Numbers in Nature