Sum of odd indexed Fibonacci numbers
From specialfunctionswiki
Theorem
The following formula holds: $$\displaystyle\sum_{k=1}^n F_{2k+1} = F_{2n+2},$$ where $F_{2k+1}$ denotes the $2k+1$st Fibonacci number.
The following formula holds: $$\displaystyle\sum_{k=1}^n F_{2k+1} = F_{2n+2},$$ where $F_{2k+1}$ denotes the $2k+1$st Fibonacci number.
