SophiaRivera007 Posted December 21, 2016 Share Posted December 21, 2016 Hello, everyone This is my first forum. I need help to find the nth term of Fibonacci series with the golden ratio. Can anyone help me to know about golden ratio and its equation? and how to find Fibonacci series from it. Link to comment Share on other sites More sharing options...

Sriman Dutta Posted December 21, 2016 Share Posted December 21, 2016 Do you know about the golden ratio? Link to comment Share on other sites More sharing options...

mathematic Posted December 22, 2016 Share Posted December 22, 2016 Golden ratio - Wikipedia https://en.wikipedia.org/wiki/Golden_ratio In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. ... where the Greek letter phi ( φ {\displaystyle \varphi } or ϕ {\displaystyle \phi } ) represents the golden ratio. Its value is: φ = 1 + 5 2 = 1.6180339887 … . Decimal: 1.6180339887498948482... A... Hexadecimal: 1.9E3779B97F4A7C15F39 Binary: 1.1001111000110111011 Link to comment Share on other sites More sharing options...

AshBox Posted December 22, 2016 Share Posted December 22, 2016 (edited) Definition: The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple geometric figures such as the pentagon, pentagram, decagon and dodecahedron. It is denoted, or sometimes. Using The Golden Ratio to Calculate Fibonacci Numbers The Golden Ratio to calculate Fibonacci Series: The answer will be equal to the addition of the previous two terms, as a whole number: I.E.: When I used an online calculator for this, I only enter the Golden Ratio to 6 decimal places & I got the answer 8.00000033. A more accurate calculation would be closer to 8. Edited December 22, 2016 by AshBox Link to comment Share on other sites More sharing options...

SophiaRivera007 Posted December 22, 2016 Author Share Posted December 22, 2016 Golden ratio - Wikipedia https://en.wikipedia.org/wiki/Golden_ratio In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. ... where the Greek letter phi ( φ {\displaystyle \varphi } or ϕ {\displaystyle \phi } ) represents the golden ratio. Its value is: φ = 1 + 5 2 = 1.6180339887 … . Decimal: 1.6180339887498948482... A... Hexadecimal: 1.9E3779B97F4A7C15F39 Binary: 1.1001111000110111011 Thank you for great information. Definition: The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple geometric figures such as the pentagon, pentagram, decagon and dodecahedron. It is denoted, or sometimes. Using The Golden Ratio to Calculate Fibonacci Numbers The Golden Ratio to calculate Fibonacci Series: The answer will be equal to the addition of the previous two terms, as a whole number: I.E.: When I used an online calculator for this, I only enter the Golden Ratio to 6 decimal places & I got the answer 8.00000033. A more accurate calculation would be closer to 8. Thank You AshBox. I have tried this equation and it gave me exact result which I was wondering about. Link to comment Share on other sites More sharing options...

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