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For each of these sequences find a recurrence relation

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 14E Chapter 2.4

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 14E

For each of these sequences find a recurrence relation satisfied by this sequence. (The answers are not unique because there are infinitely many different recurrence relations satisfied by any sequence.)

Step-by-Step Solution:

Step 1 :

In this problem we have to find a recurrence relation satisfied by the sequence.

(a)

Ans : consider

Then

.’.

So is the recurrence relation.

Step 2 :

(b)

Ans : consider

Check

.’.

This is the recurrence relation.

Step 3 :

(C)

Ans : consider

Find

.’.

So 2 is a recurrence relation.

(d)

Ans :

.’. a recurrence relation.

Step 4 :

(e)

Ans : first calculate

.’. is a recurrence relation.

Step 5 of 7

Chapter 2.4, Problem 14E is Solved
Step 6 of 7

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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For each of these sequences find a recurrence relation

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