Fibonacci and Matrices Investigation
A CAS investigation how to quickly calculate any term of the Fibonacci Sequence using Matrices.
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To find consecutive terms of a Fibonacci sequence we use the recursive formula. This would take a long time to calculate the 50th term. Is there an easier method? You can find out by attempting this investigation. Also, what is the limit of the ratio of any two consecutive terms of the Fibonacci sequence? The investigation extends to matrix powers.
