# Fibonacci Sequence

by
**camilleglogster**

Last updated 5 years ago

** Discipline: **

Math ** Subject: **

Patterns
** Grade:**

1,2,3,4,5,6,7,8,9,10,11,12

They Make a SpiralIf you make squares with side lengths the consecutive fibonacci numbers, you can make a cool spiral!

What?

The Fibonacci Sequence is the series of numbers:0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

How do you get the sequence?

The Golden Ratio

And here is a surprise. If you take any two successive (one after the other) Fibonacci Numbers, their ratio is very close to the Golden Ratio "φ" - pronounced "fee", spelled Phi, which is approximately 1.618034...In fact, the bigger the pair of Fibonacci Numbers, the closer the approximation.

Define it!Each term in the sequence can be described by it's placement as the 1st, 2nd,..., or nth term. Use "x" to represent the term, and a subscript to descibe the terms placement.Therefore, the Rule is: Xn = Xn-1 + Xn-2

Fibonacci Sequence

Who discovered the Fibonacci Sequence?

Fibonacci in Music•There are 13 notes in the span of any note through its octave.•A scale is composed of 8 notes, of which the•5th and 3rd notes create the basic foundation of all chords, and•are based on a tone which are combination of 2 steps and 1 step from the root tone, that is the 1st note of the scale.

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