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TEA [102]
4 years ago
12

How many bar lines are there in the staff above

SAT
2 answers:
Igoryamba4 years ago
5 0
There are 5 lines on that staff.

kap26 [50]4 years ago
4 0
There are 5 lines on the staff
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The recurrence relation for the number of bit strings of length n that do not contain three consecutive zeros is; aₙ = aₙ ₋ ₁ + aₙ ₋ ₂ + aₙ ₋ ₃

<h3>How to solve recurrence relations?</h3>

Let Sₙ represent a string of length n that does not have 3 consecutive zeros, and let aₙ be the number of such strings.

If we take a string of length n − 1 that does not contain 3 consecutive zeros which is sₙ ₋ ₁.

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If we take a string sₙ₋₃ and we add 100 at the end, we will obtain a string sₙ. We see that this string is different from the first two that ended with 1 while this ended with 00. Thus, there are no other possibilities without having 3 consecutive zeros. Thus, we have the recurrence relation as;

aₙ = aₙ ₋ ₁ + aₙ ₋ ₂ + aₙ ₋ ₃

Read more about Recurrence relations at; brainly.com/question/4082048

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