Subject: Fibonacci's Sequence What discoveries can be made about the sum of squares of Fibonacci's Sequence. Vandan Middle School/Junior High Planned use of the information: Brief Research or Class Assignment Hi Vandan,(f_{n})^{2} + (f_{n + 1})^{2} = f_{2n + 1} This fact follows from a more general result that states: f_{a}f_{n} + f_{a + 1}f_{n + 1} = f_{a + n + 1} for all natural numbers n. This can be proved by mathematical induction. To get the previous result let a = n. Penny
