Intereting Posts

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Intuition for the Universal Chord Theorem

I hope you can help me

show that if *f* represents the fibonacci numbers, for all n $\ge$ 2 the equation below is correct.

$f_n$ = $\frac{f_{n-1} +\sqrt{5f_{n-1}^2+4(-1)^{n+1}}}{2}$

my problem is that in the equation, $f_n$ is given only by its predecessor. I don’t know how to apply the inductive step of my proof.(using mathematical induction to prove the equation)

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- Showing that an equation holds true with a Fibonacci sequence: $F_{n+m} = F_{n-1}F_m + F_n F_{m+1}$

thanks

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