Fibonacci Sequence

\(T_{n}\) 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 \((2a-1)^{2}.\)

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