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Unusual series

Algebra Level 2

Define \(X_n=X_{n-1}+X_{n-2}\)

If \(X_1=5^5\) and \(X_2=5^6\)

Find \(\displaystyle \lim_{n\rightarrow \infty} \dfrac{X_{n+1}}{X_{n}}\)

\[\pi\] \[\phi\] \[e\] \[2\]

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by Trevor Arashiro

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