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 |
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Fibonacci and Lucas
Fibonacci
Series |
ratios |
Lucas
Series |
ratios |
| 1/ |
1.0 |
1/ |
1.0 |
| 1 |
|
1 |
|
|
|
|
|
| 1/ |
0.5 |
1/ |
0.3333333333333 |
| 2 |
|
3 |
|
|
|
|
|
| 2/ |
0.6666666666667 |
3/ |
0.75 |
| 3 |
|
4 |
|
|
|
|
|
| 3/ |
0.6 |
4/ |
0.5714285714286 |
| 5 |
|
7 |
|
|
|
|
|
| 5/ |
0.625 |
7/ |
0.6363636363636 |
| 8 |
|
11 |
|
|
|
|
|
| 8/ |
0.6153846153846 |
11/ |
0.6111111111111 |
| 13 |
|
18 |
|
|
|
|
|
| 13/ |
0.6190476190476 |
18/ |
0.6206896551724 |
| 21 |
|
29 |
|
|
|
|
|
| 21/ |
0.6176470588235 |
29/ |
0.6170212765957 |
| 34 |
|
47 |
|
|
|
|
|
| 34/ |
0.6181818181818 |
47/ |
0.6184210526316 |
| 55 |
|
76 |
|
|
|
|
|
| 55/ |
0.6179775280899 |
76/ |
0.6178861788618 |
| 89 |
|
123 |
|
|
|
|
|
| 89/ |
0.6180555555556 |
123/ |
0.6180904522613 |
| 144 |
|
199 |
|
|
|
|
|
| 144/ |
0.618025751073 |
199/ |
0.6180124223602 |
| 233 |
|
322 |
|
|
|
|
|
| 233/ |
0.6180371352785 |
322/ |
0.6180422264875 |
| 377 |
|
521 |
|
|
|
|
|
| 377/ |
0.6180327868852 |
521/ |
0.6180308422301 |
| 610 |
|
843 |
|
|
|
|
|
| 610/ |
0.6180344478217 |
843/ |
0.6180351906158 |
| 987 |
|
1364 |
|
|
|
|
|
|
|
|
|
| 987/ |
0.6180338134001 |
1364/ |
0.6180335296783 |
| 1597 |
|
2207 |
|
|
|
|
|
| 1597/ |
0.6180340557276 |
2207/ |
0.6180341640997 |
| 2584 |
|
3571 |
|
|
|
|
|
| 2584/ |
0.6180339631667 |
3571/ |
0.6180339217722 |
| 4181 |
|
5778 |
|
|
|
|
|
| 4181/ |
0.6180339985218 |
5778/ |
0.6180340143331 |
| 6765 |
|
9349 |
|
|
|
|
|
| 6765/ |
0.6180339850174 |
9349/ |
0.6180339789780 |
| 10946 |
|
15127 |
|
|
|
|
|
| 10946/ |
0.6180339901756 |
15127/ |
0.6180339924824 |
| 17711 |
|
24476 |
|
|
|
|
|
| 17711/ |
0.6180339882053 |
24476/ |
0.6180339873242 |
| 28657 |
|
39603 |
|
|
|
|
|
| 28657/ |
0.6180339889579 |
39603/ |
0.6180339892945 |
| 46368 |
|
64079 |
|
|
|
|
|
| 46368/ |
0.6180339886704 |
64079/ |
0.6180339885419 |
| 75025 |
|
103682 |
|
|
|
|
|
| 75025/ |
0.6180339887802 |
103682/ |
0.6180339888293 |
| 121393 |
|
167761 |
|
|
|
|
|
| 121393/ |
0.6180339887383 |
167761/ |
0.6180339887195 |
| 196418 |
|
271443 |
|
|
|
|
|
| 196418/ |
0.6180339887543 |
271443/ |
0.6180339887615 |
| 317811 |
|
439204 |
|
|
|
|
|
| 317811/ |
0.6180339887482 |
439204/ |
0.6180339887455 |
| 514229 |
|
710647 |
|
|
|
|
|
| 514229/ |
0.6180339887505 |
710647/ |
0.6180339887516 |
| 832040 |
|
1149851 |
|
|
|
|
|
| 832040/ |
0.6180339887496 |
1149851/ |
0.6180339887492 |
| 1346269 |
|
1860498 |
|
|
|
|
|
| 1346269/ |
0.6180339887500 |
1860498/ |
0.6180339887501 |
| 2178309 |
|
3010349 |
|
|
|
|
|
|
|
|
|
|
Fibonacci
with reciprocals
Lucas with reciprocals
True Gravity Numbers |
|
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View the Ten Actions
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www.goldengolf.com
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