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Phi to the power of 4?

Guest Dec 30, 2014

Best Answer 

 #3
avatar+78744 
+10

Sorry, rosala...I should have explained more....Phi is the irrational number (1 + √5) / 2   ≈ 1.61803398874989485

If you have regular pentagon of side length = 1, then the length of one of its diagonals turns out to be "Phi"

Also....if you're familiar with the Fibonacci Series.......as the series grows larger, the ratio between a successive term and its preceding term tends towards Phi....!!

Athough you probably have enough studying to do in school....here's a whole website devoted to Phi....http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/phi.html

(You may find it interesting to just look at a little of it at a time...!!!)

 

CPhill  Dec 30, 2014
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8+0 Answers

 #1
avatar+78744 
+5

1.61803398874989485^4 = 6.85410196624968457504

We could have also found this by summing ..... 1.61803398874989485^2 +1.61803398874989485^3........since Phi has the interesting property that Phi^n + Phi^(n + 1)  = Phi^(n + 2)......!!!!

 

CPhill  Dec 30, 2014
 #2
avatar+11753 
+5

CPhill!whats "Phi"?

rosala  Dec 30, 2014
 #3
avatar+78744 
+10
Best Answer

Sorry, rosala...I should have explained more....Phi is the irrational number (1 + √5) / 2   ≈ 1.61803398874989485

If you have regular pentagon of side length = 1, then the length of one of its diagonals turns out to be "Phi"

Also....if you're familiar with the Fibonacci Series.......as the series grows larger, the ratio between a successive term and its preceding term tends towards Phi....!!

Athough you probably have enough studying to do in school....here's a whole website devoted to Phi....http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/phi.html

(You may find it interesting to just look at a little of it at a time...!!!)

 

CPhill  Dec 30, 2014
 #4
avatar+11753 
+5

Thats really interesting CPhill!

 

Thank you!

 

rosala  Dec 30, 2014
 #5
avatar+360 
0

1.618*4=6.472

NotTheBestMathMaster  Dec 30, 2014
 #6
avatar+360 
0

I think thats right...

NotTheBestMathMaster  Dec 30, 2014
 #7
avatar+360 
0

Of course Chpill took the more detailed version but both statements are correct.

NotTheBestMathMaster  Dec 30, 2014
 #8
avatar+91045 
+5

I am sorry NotTheBestMathMaster but your answer is not correct.

phi to the power of 4  is  phi^4

this is different from phi multiplied by 4 which is  phi*4

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I shall show you on some more every day numbers.

3^4 = 3*3*3*3 = 81

where as 

3*4 = 3+3+3+3 = 12

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I am glad that you have joined our forum.  You can have some fun and learn a lot here.  :)

Melody  Dec 31, 2014

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