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.
Now, when we add a₁ to the string, we will have a string sₙ.
If we take a string sₙ ₋ ₂ and add 10 at the end, it will produce a string sₙ.
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
Answer:
You are imperfect, permanently and inevitably flawed. And you are beautiful.”
Explanation:
Setting up of new hotels.
Creation of jobs inside hotels.
Improvement of the infrastructure of hotels, services, and images.
Increase in local business supply service
Increase in tax due to revenue generation by expenditure by the local people.
All these steps led to revenue generation and improvement in economy of South Africa.
One of Level 3's public DNS servers is 4.2.2.3. This is further explained below.
<h3>What is public DNS?</h3>
Generally, A public DNS server is one that provides users with a wealth of information on the websites that are hosted on certain IP addresses.
In conclusion, 4.2.2.3 is a public DNS server operated by Level 3.
Read more about public DNS
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