please write clearly and prove all the steps. thank you. 6. Solve the following recurrence relation together with the initial conditions give:ап — 4аn-1 —4аn-2 for п>2, ao — 1,ај — 0

Answered: Image /qna-images/answer/39c65207-21e5-4ad0-b8fb-4212efec0ae1.jpg

Answered: 6. Solve the following recurrence…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 54E

See similar textbooks

Similar questions

13. Solve the recurrence relation. Given:a0=3 a1= 6 an= 6a n-1 + 7a n-2 Show your work in the space provided. a. Find c1 and c2 an= (6)a n-1 + (7)a n-2 c1= c2= b. Substitute c1 and c2 into the following equation: r^2- c1r - c2= 0 show your work here: c. Identify a, b, and c in the quadratic equation. a= b= c= d. Use the quadratic formula to find the two roots. Here is the quadratic formula: -b + Vb^2- 4ac/2a Show your work here: e. Substitute two roots, r1 and r2 into the equation an= a1r1^n+ a2r2^n Show your work here: f. Now substitute to find two equations, a0 and a1 Remember to use the equation you found from step e. show your work here: a0= 3 =a1= 6 = g. Add the two equations together find a1 and a2 a1= a2= h. What is the solution to the recurrence relations? an= i. Find the 10" term of the sequence, using the solution to the recurrence relation you just found. Show your work here: a10=
6. Solve the recurrence relation an = -3an-1 – 3an-2 – an-3 with ao = 5, a1 = -9, and a2 = 15. %3D
Find a 3rd order linear homogeneous recurrence relation equation that has solution h, = 5(-3)" - 7n4" h= -h-1 + h-2 + 12ha-3 h = ha-1- ha-2 - 12h-3 h. = 5h-1 + 8h-2 - 48h-3 O ha =-Sha-1 + 8h-2 + 48ha-3
DO PART (A). Show steps clearly with answer circled. No cursive if possible.
6. Solve please
Find the solution to each of these recurrence relations with the given initial conditions. (а) ат — —аn-1 With ao — -3. (b) an = an-1+2 with ao = 1. (с) а, — 2ар-1 — 2 with ao — —1.
Find the solution to each of these recurrence relations and initial conditions. (а) ап — Зап-1, а0 (b) аn Зап-1 + 1, ао — 1 %3D
An= -An-1+12An-2; A0=5; A1=8. Solve the recurrence relation using the Characteristics Equation method and calculate A3 .
Please Answer
solve
Match each recurrence relation on the left with the value of its third term as on the right.
Can anyone help me with this recurrence relation? Thank you

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

SEE MORE TEXTBOOKS

6. Solve the following recurrence relation together with the initial conditions given: An = 4an-1 - 4an-2 for n 2 2, ao = 1, a1 = 0