Sum of odd indexed Fibonacci numbers
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Revision as of 02:23, 15 September 2016 by Tom (talk | contribs) (Created page with "==Theorem== The following formula holds: $$\displaystyle\sum_{k=1}^n F_{2k+1} = F_{2n+2},$$ where $F_{2k+1}$ denotes a Fibonacci number. ==Proof== ==R...")
Theorem
The following formula holds: $$\displaystyle\sum_{k=1}^n F_{2k+1} = F_{2n+2},$$ where $F_{2k+1}$ denotes a Fibonacci number.
