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		<id>https://www.conservapedia.com/index.php?title=Fibonacci_sequence&amp;diff=49454</id>
		<title>Fibonacci sequence</title>
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		<updated>2007-03-19T23:40:24Z</updated>

		<summary type="html">&lt;p&gt;Euler: &lt;/p&gt;
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&lt;div&gt;The '''Fibonacci sequence''' is a series of numbers in which each number is the sum of the two preceding numbers.  The numbers are known as '''Fibonacci numbers'''.&lt;br /&gt;
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'''Example'''&lt;br /&gt;
 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ...&lt;br /&gt;
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The Fibonacci numbers were first described by the Sanskrit linguist Pingala around the year 450 BC.  They arose from the study of meters with long and short syllables.&lt;br /&gt;
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The first Western mathematician to study this sequence was Leonardo of Pisa, commonly known as [[Fibonacci]], in the consideration of the growth of an idealized rabbit population.&lt;br /&gt;
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[[Johannes Kepler]] discovered that the [[limit]] of the ratios between succeeding Fibonacci numbers converges to the [[golden ratio]].  Fibonacci numbers also occur in [[Pascal's triangle]] and the run-time analysis of [[Euclid's Algorithm]].&lt;br /&gt;
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== Examples of Fibonacci Sequences ==&lt;br /&gt;
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* The family trees of honey bees can be depicted using fibonacci numbers because unmated females will always hatch male young, while mated females will always hatch female young&lt;/div&gt;</summary>
		<author><name>Euler</name></author>
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