Let T n be the number of ternary base 3 sequences i e character strings...

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Algebra

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Let T n be the number of ternary base 3 sequences i e character strings of O s 1 s and 2 s of length n that have no consecutive zeroes for n 1 Find a recurrence relation that relates T n to T n 1 and T n 2 Solve this recurrence relation Prove by induction that your answer

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