Question from Thomas, a student:
Hey I have a question for a research topic that our teacher set us, It is regarding the sum of the squares of the fibonacci numbers.
1² = 1 x 1
1²+1² = 1 x 2
1²+1²+2² = 2 x 3
1²+1²+2²+3² = 3 x 5
1²+1²+2²+3²+5² = 5 x 8
The question says describe the pattern that exists and write a general formula that describes the relationship ilustrated above. I can see the pattern that is occuring but i cannot put this into a general formula.
Any help would be appreciated.