Difference between revisions of "Sum of Fibonacci numbers"

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(Created page with "==Theorem== The following formula holds: $$\displaystyle\sum_{k=1}^n F_k = F_{n+2}-1,$$ where $F_k$ denotes the Fibonacci sequence. ==Proof== ==References== Category:...")
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Revision as of 02:21, 15 September 2016

Theorem

The following formula holds: $$\displaystyle\sum_{k=1}^n F_k = F_{n+2}-1,$$ where $F_k$ denotes the Fibonacci sequence.

Proof

References