Asked Oct 8, 2019

Solve the recurrence relation:

T(n) = 2*T(n-1)+a*n+b



Expert Answer

Step 1

To find the formula for T(n), satisfying the given recurrence relation

Step 2

We solve this first by finding the general solution of homogeneous verison (CF) and then the PS (particular solution) of the non-homogeneous part


Image Transcriptionclose

T(n) - 2T (п-1) + an +b (1) with T(0) = 0; Rewrite (1), as T(m) - 2T (п -1) — аn + b; (2)

Step 3

clearly (3) sati...


Image Transcriptionclose

1)Homogeneous equation 0, has solution T(n)-2T (n- T(n) a2" (3)


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in


Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Use the Chain Rule to find the indicated partial derivatives. w = xy + yz + zx,    x = r cos(θ),   ...

A: Click to see the answer


Q: I am stuck on this math problem:  Suppose a cup of coffee is at 100 degrees Celsius at time t = 0, it...

A: From the given information it is given that:


Q: Chuong Ngo purchased a house and obtained a 25 year loan of 199,000 at an annual interest rate of 8....

A: According to the given information:


Q: Please, help me with a step by step solutions to problem (Q3) and I will be very grateful to you. I ...

A: To compute the resolvent of given f and g.


Q: Let A={x,y,z,1} and let B= {1,2,4}. If a set  U= (A x B) U (B x A), how many elements are there in U...

A: Recall the following facts.


Q: Chapter 6, Section 6.2, Question 016 1 The function s(t) gives the distance (miles) in terms of time...

A: Given the average rate of change of function s(t) is 225 mph.Assume,


Q: How do I complete a truth table for this problem? Compute the truth values of the following symbolic...

A: To compute the truth value of the given statement , by subsituting the given truth values


Q: To say that a set A is tidy means that, for every x, if x is an element of A, then x is a subset of ...

A: Given:


Q: Problems, Section 9 number 8,10,11,13. Please answer the questions

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...