+0  
 
0
803
2
avatar

n

ϕn

1

1.618033989

1.618033989

2

3.236067977

2.618033989

3

4.854101966

4.236067977

4

6.472135955

6.854101966

5

8.090169944

11.090169944

6

9.708203932

17.944271910

7

11.326237921

29.034441854

8

12.944271910

46.978713764

9

14.562305899

76.013155617

10

16.180339887

122.991869381

11

17.798373876

199.005024999

12

19.416407865

321.996894380

13

21.034441854

521.001919379

14

22.652475842

842.998813759

15

24.270509531

1364.000733137

 

Whats the relationship between nϕ and ϕn using this table?

 Aug 23, 2017
 #1
avatar
0

Each product of n x Phi is the product of n - 1 plus Phi. And each product of Phi^n is the product of n - 1 times Phi. So the product of n =10 is the product n=10 - 1 + Phi. The product of Phi^10 is the product Phi^(10-1)=Phi^9 x Phi. 

 Aug 23, 2017
edited by Guest  Aug 23, 2017
 #2
avatar
0

In the left column, you are adding Phi n times. In the right column, you are multiplying Phi by itself n times. That is it.

 Aug 23, 2017

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