Osiris9557 Osiris9557

23-01-2024
Mathematics

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Let aₙ be the number of n-bit strings that do not contain two consecutive 1s. Which one of the following is the recurrence relation for aₙ?
A. aₙ = aₙ₋₁ + aₙ₋₂
B. aₙ = aₙ₋₁ + 2aₙ₋₂
C. aₙ = 2aₙ₋₁ + aₙ₋₂
D. aₙ = 2aₙ₋₁ + 2aₙ₋₂

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