Practice problem
Define the Fibonacci Numbers to be F1=F2=1F_1 = F_2 = 1F1=F2=1 and Fn=Fn−1+Fn−2F_n = F_{n-1} + F_{n-2}Fn=Fn−1+Fn−2 for n≥3n \ge 3n≥3.
For n≥2n \ge 2n≥2 which of the following is equal to Fn+12−Fn−12F_{n+1}^2 - F_{n-1}^2Fn+12−Fn−12?
F1F_1F1
F2013F_{2013}F2013
Fn−1F_{n-1}Fn−1
FnF_nFn
F2n−1F_{2n-1}F2n−1
F2nF_{2n}F2n
F3nF_{3n}F3n
F3n+1F_{3n+1}F3n+1
Type a concept, like “slope” or “photosynthesis”.