please answer both parts thanks

(5) In class we saw what happens if we sum the first n Fibonacci numbers ()_FK = Fn+2-1), as well as what happens if we sum the squares across the the nth row of Pascal's triangle (F-. (") = (') ). Now lets see what happens if we sum across the first n Fibonacci's squared, that is ER_, FL. (a) Calculate out the first 5 values of _"_ F2 and find a closed form expression involving Fibonacci numbers. (5 points) (b) Prove your formula for Ck_ FL. (5 points) Recall, the Fibonacci numbers Fr are given by the recurrence Fn+1 = Fn + Fn-1 with ini- tial values Fo = 0 and F1 = 1. The first few Fibonacci numbers (starting with Fo) are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ... and so on