# 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 $$(2a-1)^{2}.$$

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