4 a) Find a recurrence relation for an, the number of sequences of 1's and 2's and 4's whose sum is n and with no 21 subsequence. b) Find a recurrence relation for an, the number of sequen...
4 a) Find a recurrence relation for an, the number of sequences
of 1's and 2's and 4's whose sum is n and with no 21
subsequence.
b) Find a recurrence relation for an, the number of sequences of
1's and 2's and 4's whose sum is n and with no 44 subsequence.
Answer is a) an = an-1+ an-4 + an-2 - an-3, b) an = an-1 + an-2 + an-5 + an-6, please explain how to get it, thanks.
Homework Answers
Add Answer to:
4 a) Find a recurrence relation for an, the number of sequences of 1's and 2's and 4's whose sum is n and with no 21 subsequence. b) Find a recurrence relation for an, the number of sequen...
4 a) Find a recurrence relation for an, the number of sequences of 1's and 2's...
4 a) Find a recurrence relation for an, the number of sequences of 1's and 2's and 4's whose sum is n and with no 21 subsequence. b) Find a recurrence relation for an, the number of sequences of 1's and 2's and 4's whose sum is n and with no 44 subsequence. Answer is a) an = an-1+ an-4 + an-2 - an-3, b) an = an-1 + an-2 + an-5 + an-6, please explain how to get it,...
A) Find a recurrence relation for an - number of n digit quarternary sequences (using digts from ...
a) Find a recurrence relation for an - number of n digit quarternary sequences (using digts from (0, 1,2, 3]) with at least one 1 and the first 1 occurring before the first O.( It is possible that there is no 0 in the sequence). Hint: Consider the cases: the sequence starts with a 1 or with a 2 or with a 3. Note that it cannot start with a O. Explain all steps
a) Find a recurrence relation for...
06. Do any two of the following three parts Q6(a). Solve the following recurrence relation; Q6(b). Find a recurrence relation for an, which is the number of n-digit binary sequences with no pa...
06. Do any two of the following three parts Q6(a). Solve the following recurrence relation; Q6(b). Find a recurrence relation for an, which is the number of n-digit binary sequences with no pair of consecutive 1s. Explain your work. Q6(c) Solve the following problem using the Inclusion-Exclusion formula. How many ways are there to roll 8 distinct dice so that all the six faces appear? Hint: Use N(A'n n. NU)-S-,-1)' )-S-S2+S-(-1)Sn U- All possible rolls of 8 dice, Aj-Roll of...
How many of the below given sequences is a solution to the following recurrence relation: an...
How many of the below given sequences is a solution to the
following recurrence relation: an = an-1 +
2an-2 +2n - 9?
1.) an = 2n + n - 2
2.) an = 72n
- n + 2
3.) an = 5(-1)n - n + 2
4.) an = 2 - n
5.) an = 2(-4)n
+ 3
can someone help me with this two questions please thank you 4. Find a recurrence relation...
can someone help me with this two questions please
thank you
4. Find a recurrence relation (with initial conditions) for an, the number of ternary sequences of length n that do not contain three consecutive digits that are the same. That is, the patterns '000','111', 222 must not appear anywhere in the sequence. So, 0011012 is acceptable, but 000022 and 1000112 are not. 5. Elsa is making trains out of colored train cars: the red cars are 2 inches long,...
ind a solution to the following recurrence relation and initial condition.< n-1 40 .a. Suppose the number of bacteria in a colony quadruples every hour. Set up a recurrence relation for the numb...
ind a solution to the following recurrence relation and initial condition.< n-1 40 .a. Suppose the number of bacteria in a colony quadruples every hour. Set up a recurrence relation for the number of bacteria in the colony at the end of n hours. 3.b. Find an explicit formula for the number of bacteria remaining in the colony after n hours.< 3.c. If 80 bacteria form a new colony, how many will be in the colony after three hours?d 4....
Given the sequence defined with the recurrence relation:
Given the sequence defined with the recurrence relation:$$ \begin{array}{l} a_{0}=2 \\ a_{k}=4 a_{k-1}+5 \text { for } n \geq 0 \end{array} $$A. (3 marks) Terms of Sequence Calculate \(a_{1}, a_{2}, a_{3}\) Keep your intermediate answers as you will need them in the next questionsB. ( 7 marks) Iteration Using iteration, solve the recurrence relation when \(n \geq 0\) (i.e. find an analytic formula for \(a_{n}\) ). Simplify your answer as much as possible, showing your work. In particular, your final...
Solve the recurrence relation S(1) = 0, S(n) = 2S(n/2) + n using the formula c^(n-1)...
Solve the recurrence relation S(1) = 0, S(n) = 2S(n/2) + n using the formula c^(n-1) * S(1) + sum(c^(n-i) * g(i)) from i=2 to n.
14. Find a recurrence relation for the number of permutations of the integers (1,2,3,...,n that h...
How to solve these problem, I need detailed answer process.
14. Find a recurrence relation for the number of permutations of the integers (1,2,3,...,n that have no integer more than one place removed from its natural position in the order
14. Find a recurrence relation for the number of permutations of the integers (1,2,3,...,n that have no integer more than one place removed from its natural position in the order
1. For linear recurrence relation f(n+1) = f(n) + n, find the general solution 2. For...
1. For linear recurrence relation f(n+1) = f(n) + n, find the general solution 2. For linear recurrence relation n = f(n+4) - f(n), find the general solution
a) Find a recurrence relation for an - number of n digit quarternary sequences (using digts from (0, 1,2, 3]) with at least one 1 and the first 1 occurring before the first O.( It is possible that there is no 0 in the sequence). Hint: Consider the cases: the sequence starts with a 1 or with a 2 or with a 3. Note that it cannot start with a O. Explain all steps
a) Find a recurrence relation for...
06. Do any two of the following three parts Q6(a). Solve the following recurrence relation; Q6(b). Find a recurrence relation for an, which is the number of n-digit binary sequences with no pair of consecutive 1s. Explain your work. Q6(c) Solve the following problem using the Inclusion-Exclusion formula. How many ways are there to roll 8 distinct dice so that all the six faces appear? Hint: Use N(A'n n. NU)-S-,-1)' )-S-S2+S-(-1)Sn U- All possible rolls of 8 dice, Aj-Roll of...
How many of the below given sequences is a solution to the
following recurrence relation: an = an-1 +
2an-2 +2n - 9?
1.) an = 2n + n - 2
2.) an = 72n
- n + 2
3.) an = 5(-1)n - n + 2
4.) an = 2 - n
5.) an = 2(-4)n
+ 3
can someone help me with this two questions please
thank you
4. Find a recurrence relation (with initial conditions) for an, the number of ternary sequences of length n that do not contain three consecutive digits that are the same. That is, the patterns '000','111', 222 must not appear anywhere in the sequence. So, 0011012 is acceptable, but 000022 and 1000112 are not. 5. Elsa is making trains out of colored train cars: the red cars are 2 inches long,...
ind a solution to the following recurrence relation and initial condition.< n-1 40 .a. Suppose the number of bacteria in a colony quadruples every hour. Set up a recurrence relation for the number of bacteria in the colony at the end of n hours. 3.b. Find an explicit formula for the number of bacteria remaining in the colony after n hours.< 3.c. If 80 bacteria form a new colony, how many will be in the colony after three hours?d 4....
How to solve these problem, I need detailed answer process.
14. Find a recurrence relation for the number of permutations of the integers (1,2,3,...,n that have no integer more than one place removed from its natural position in the order
14. Find a recurrence relation for the number of permutations of the integers (1,2,3,...,n that have no integer more than one place removed from its natural position in the order
Most questions answered within 3 hours.
-
Let X be a continuous random variable whose PDF is Let X be a
continuous random...
asked 13 minutes ago -
Martinez Company’s relevant range of production is 7,500 units
to 12,500 units. When it produces and...
asked 11 minutes ago -
A football with a mass of 1.2 kg is kicked from ground level to
a height...
asked 17 minutes ago -
Remember: Changes in supply determinants shift supply, and
changes in demand determinants shift demand. We say...
asked 16 minutes ago -
Why is the answer b), for this question? I came up with C) for
my incorrect...
asked 22 minutes ago -
Suppose that you know that in the population of full-time
employees in the United States, the...
asked 44 minutes ago -
This experiment was designed originally to sample various meat and carcass quality
aspects of Ontario pigs...
asked 44 minutes ago -
Dopamine Hydrochloride: draw the structure And Show the
functional groups in different colors and label the...
asked 36 minutes ago -
A rope supports a 10 kg dumbbell hanging from it. What is the
tension in the...
asked 36 minutes ago -
) Raw materials are studied for contamination. Suppose that
the number of particles of contamination per...
asked 58 minutes ago -
After running a regression analysis we calculated an F test and
the significance level was 0.15....
asked 54 minutes ago -
----Can someone please help me solve this one using JAVA
----I thank you in advance
Create...
asked 59 minutes ago