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# Fibonacci Sequence

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What is the Fibonacci Sequence?

amba16  Nov 28, 2018

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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.

Rom  Nov 28, 2018
edited by Rom  Nov 28, 2018
edited by Rom  Nov 28, 2018
#1
+3198
+3

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

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