Fibonacci Series

*** please note: Most websites begin with F0 = 0, F1 = 1, F2 = 1, F3 = 2, F4 = 3 etc.
*** my F1 is 0, F2 is 1 etc. Thus all my data is one iteration different. Here are some more ratios:-


F(n-1)/F(n)
F11/F12 = 55/89 = 0.6179775
F16/F17 = 610/987 = 0.6180344
F17/F18 = 987/1597 = 0.618338
F29/F30 = 317811/514229 = 0.6180339

F(n-2)/F(n)
F10/F12 = 34/89 = 0.3820224
F16/F18 = 610/1597 = 0.3819661
F20/F22 = 4181/10046 = 0.381966
F31/F33 = 832040/2178309 = 0.381966

F(n-3)/F(n)
F10/F13 = 34/144 = 0.236
F15/F18 = 377/1597 = 0.2360676
F19/F22 = 2584/10946 = 0.2360679
F30/F33 = 514229/2178309 = 0.2360679

F(n-4)/F(n)
F10/F14 = 34/233 = 0.1459227
F14/F18 = 233/1598 = 0.1458985
F18/F22 = 1597/10946 = 0.145898
F29/F33 = 317811/2178309 = 1.45898

F(n-9)/Fn)
F10/F19 = 34/2584 = 0.01315
F29/F38 = 317811/24157817 = 0.0131556
F30/F39 = 514229/39088169 = 0.0131556

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There is an excellent website http://www.evolutionoftruth.com/
which gives us many more relationship numbers regarding phi.
5/3 = 1.66 = phi
8/5 = 1.6
eg phi squared = phi + 1.
1/phi = phi-1 ie 0.61804
1 squared + 1 squared + .... F(n) squared = F(n) = F(n+1)
34/21=1.6190476
Relationships with DNA and Solar System
http://www.goldennumber.net/

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F(n-13) x 100000/F(n) F10
F10 x 100000/ F23 = 3400000/17711 = 191.97109
F15 x 100000/F28 = 37700000/196418 = 191.9376
F20 x 100000/F33 = 418100000/2178309 = 191.93787
F24 x 100000/F37 = 2865700000/14930352 = 28657/149.30352 = 191.93787
F30 x 10000/F43 = 51422900000/267914296 = 514229/2679.14296 = 191.93787
F30 x 100000/F43 = 51422900000/267914296 = 514229/2679.14296 = 191.93787

All the way here, it is close to 192.
What does this signify?
A brand new equation!