Difference between revisions of "Sum of odd indexed Fibonacci numbers"
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(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...") |
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Revision as of 02:23, 15 September 2016
Theorem
The following formula holds: $$\displaystyle\sum_{k=1}^n F_{2k+1} = F_{2n+2},$$ where $F_{2k+1}$ denotes a Fibonacci number.
