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# Relationship of phi

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 n nϕ 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?

Guest Aug 23, 2017
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#1
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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.

Guest Aug 23, 2017
edited by Guest  Aug 23, 2017
#2
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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.

Guest Aug 23, 2017

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