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prove-n-1-1-F-n-lt-4-F-n-fibonacci-sequence-




Question Number 170579 by mnjuly1970 last updated on 27/May/22
     prove             Σ_(n=1) ^∞ (( 1)/(  F_n )) < 4      F_n : fibonacci sequence
$$ \\ $$$$\:\:\:{prove} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\:\mathrm{1}}{\:\:\mathrm{F}_{{n}} }\:<\:\mathrm{4}\:\:\:\:\:\:\mathrm{F}_{{n}} :\:{fibonacci}\:{sequence} \\ $$

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