Publishing equations without images

Fibonacci number is the sum of the two previous ones, yielding the sequence.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... .

Fibonacci numbers are related to the golden ratio Φ and to its conjugate , which are given by the following

\phi  = [1 + \sqrt{5}]/2 = 1.61803

 

\bar{\phi}   = [1 + \sqrt{5}]/2 = -0.61803

F_{i}  = (\phi -\bar{\phi}) / \sqrt{5}

Note the above formulae are neither  image files on server  nor the special characters in HTML.

They are just images  which are dynamically generated by Google charts upon request with desired formula as parameter.

You can see the HTML source of this page and understand how these images were generated.

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