Sum of squares of Fibonacci numbers
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Revision as of 02:25, 15 September 2016 by Tom (talk | contribs) (Created page with "==Theorem== The following formula holds: $$\displaystyle\sum_{k=1}^n F_k^2 = F_n F_{n+1},$$ where $F_k$ denotes a Fibonacci number. ==Proof== ==Refere...")
Theorem
The following formula holds: $$\displaystyle\sum_{k=1}^n F_k^2 = F_n F_{n+1},$$ where $F_k$ denotes a Fibonacci number.
