Question

Describe the following set algebraically :
F= { fn ӏ fn+2 = fn+1 + fn with f0=0 , f1=1 , n=0,1,2,…..5 }

Answer 1

So we have:
\[F=\{f_n|f_n+2=f_{n+1}+f_n; f(0)=0, f(1)=1, n\in N\}\]
What you mean algebraically?

Answer 2

I think it means a series of related numbers

Answer 3

You have the sequence:
\[\{0,1,1,2,3,5,8\}\]
Just happens to be the Fibonacci sequence...