Question

Find a closed form for the following recurrence relations. Show your work. (a) an = −an−1,...

Find a closed form for the following recurrence relations. Show your work. (a) an = −an−1, a0 = 3 (b) an = an−1 − n, a0 = 5 (c) an = 2an−1 − 3, a0 = 2

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
10) Select the answer that is a closed form solution to this recurrence relation: an =...
10) Select the answer that is a closed form solution to this recurrence relation: an = (n + 3)an−1; a0 = 2 A) an = P(n, n − 4) B) an = n! C) an = 2n D) an = (n+3)! 3 E) an = 2n + 3
Give the general form of a solution to recurrence an = 2an-1 + 3an-2 + 3n...
Give the general form of a solution to recurrence an = 2an-1 + 3an-2 + 3n r^2-2r-3=0 Assume a0 general form: an = c1an-1 + c2an-2 + · · · + ckan-k + f(n) where c1, c2, . . . , ck are real numbers and f(n) is some function of n.
solve the non-homogenous recurrence relation for an = 2an-1+an-2-2an-3+8.3n-3 where   a0 = 2, a1 = 6...
solve the non-homogenous recurrence relation for an = 2an-1+an-2-2an-3+8.3n-3 where   a0 = 2, a1 = 6 ve a2=13 Find characteric equation by plugging in  an = rn try to solve general solution and solve nonhomogeneous particular solution and find total final answer please.. My book anwer is A(1)n+B(-1)n+C(2)n+k3n , A=1/2, B=-1/2, C=1 ve k=1. can you give me more explain about this please..?
Higher order recurrence relations: Find the general solution to each recurrence (a) an −6an−1 + 11an−2...
Higher order recurrence relations: Find the general solution to each recurrence (a) an −6an−1 + 11an−2 −6an−3 = 0 for n ≥ 3. (b) an −5an−2 + 4an−4 = 0 for n ≥ 4. *hint*  To factor a polynomial of degree 3 or more look for a root r = a then use long division (dividing by the linear factor r −a) to find the cofactor (which will now be of degree one less). Repeat until you have factored completely into...
Solve the recurrence relation an = 8an−1 − 16an−2 (n ≥ 2) with the initial conditions...
Solve the recurrence relation an = 8an−1 − 16an−2 (n ≥ 2) with the initial conditions a0 = 3 and a1 = 14. Show all your work.
Solve the following recurrence relations: 1. T(n) = T(n/3) + n for n > 1 T(1)...
Solve the following recurrence relations: 1. T(n) = T(n/3) + n for n > 1 T(1) = 1 2. T(n) = 4T(n/2) + n^2 for n > 1 T(1) = 1
Find a closed form for the generating functions associated to an below. (b) a0 =a1 =0,andan...
Find a closed form for the generating functions associated to an below. (b) a0 =a1 =0,andan =1for n=2,3,4.... (c) an = 2n+1 for n = 0,1,2,...
2. Find a system of recurrence relations for the number of n-digit quaternary sequences that contain...
2. Find a system of recurrence relations for the number of n-digit quaternary sequences that contain an even number of 2’s and an odd number of 3’s. Define the initial conditions for the system. (A quaternary digit is either a 0, 1, 2 or 3)
Do expand-guess-verify technique for the following relationships, show step by step. Find closed-form formula for these...
Do expand-guess-verify technique for the following relationships, show step by step. Find closed-form formula for these recursive relationships. Estimate running time complexity (Big Oh) of the closed-form formulas – those also give you idea how “good” or “bad” original recursive algorithms are! f(1) = 5 f(n) = f(n-1) + 4 f(1) = 2 f(n) = 3f(n-1)
Consider the recurrence relation T(1) = 0, T(n) = 25T(n/5) + 5n. (a) Use the Master...
Consider the recurrence relation T(1) = 0, T(n) = 25T(n/5) + 5n. (a) Use the Master Theorem to find the order of magnitude of T(n) (b) Use any of the various tools from class to find a closed-form formula for T(n), i.e. exactly solve the recurrence. (c) Verify your solution for n = 5 and n = 25.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT