Convergence of a Recursive Sequence
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The limit of the sequence , or equivalently , satisfies the equation . The solutions are . In the graphic we show that the limit is the golden ratio .
Contributed by: Soledad María Sáez Martínez and Félix Martínez de la Rosa (March 2011)
Open content licensed under CC BY-NC-SA
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"Convergence of a Recursive Sequence"
http://demonstrations.wolfram.com/ConvergenceOfARecursiveSequence/
Wolfram Demonstrations Project
Published: March 7 2011