prove-that-n-1-H-n-F-n-2-n-ln-4-12-5-ln-Golden-ratio-F-n-fibonacci-numbers-

Question Number 158320 by mnjuly1970 last updated on 02/Nov/21

p r o v e t h a t :

\underset{n = 1}{\sum^{\infty}} \frac{H_{n} . F_{n}}{2^{n}} = l n (4) + \frac{12}{\sqrt{5}} l n (φ)

φ : Golden ratio

F_{n} : f i b o n a c c i n u m b e r s