Fibonacci Sequence
Number Theory
Level
3
\(T_{n}\) represents the \(n^{th}\) term of the Fibonacci Sequence \(1,1,2,3,5,8,13,21,... (T_{n}=T_{n-1}+T_{n-2})\)
If \(a=\lim_{n \rightarrow \infty} \frac{T_{n+1}}{T_{n}}\),
Find the value of \((2a-1)^{2}.\)
by
Lee Young Kyu