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The Dark Side of the Fibonacci Sequence

This is the defining equation for the Fibonacci sequence:

F[n] = F[n-1] + F[n-2]       (See A, B, C, D, E, F, G.)

1.000000000

-0.6180339887498949

0.3819660112501051                  ( 1.000 + -0.618… = 0.381… )

-0.2360679774997898               ( -0.618… + 0.381… = -0.236… )

0.1458980337503153                 ( 0.381… + -0.236… = 0.145… )

-0.09016994374947451             ( -0.236… + 0.145… = -0.090… )

…..

 

Why does it get smaller instead of larger?