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