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What is the Fibonacci Sequence?

 Nov 28, 2018

Best Answer 

 #1
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\(\text{The Fibonacci Sequence is a sequence of positive integers }\\ \text{that is defined by the recursive rule}\\ a_0=1,~a_1=1,~a_{n+1}=a_n + a_{n-1}\\ a_2 = a_{1+1} = a_1 + a_0 = 2\\ a_3 = a_{2+1}=a_2 + a_1 = 3 \text{ and so on to obtain }\\ 1, 1,2,3,5,8,13,21, 34 \dots\)

 

In English each number in the sequence is the sum of the two numbers immediately behind it.

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 Nov 28, 2018
edited by Rom  Nov 28, 2018
edited by Rom  Nov 28, 2018
 #1
avatar+3974 
+3
Best Answer

\(\text{The Fibonacci Sequence is a sequence of positive integers }\\ \text{that is defined by the recursive rule}\\ a_0=1,~a_1=1,~a_{n+1}=a_n + a_{n-1}\\ a_2 = a_{1+1} = a_1 + a_0 = 2\\ a_3 = a_{2+1}=a_2 + a_1 = 3 \text{ and so on to obtain }\\ 1, 1,2,3,5,8,13,21, 34 \dots\)

 

In English each number in the sequence is the sum of the two numbers immediately behind it.

Rom Nov 28, 2018
edited by Rom  Nov 28, 2018
edited by Rom  Nov 28, 2018

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