August 2008
Beginner to intermediate
568 pages
12h 1m
English
Content preview from Discrete Mathematics and Combinatorics
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Chapter 6
Recurrence Relations
Learning Objectives
On completing this chapter, you should be able to:
formulate recurrence relations to solve problems involving an unknown sequence
solve certain first order and second order recurrence relations
define the generating function of a sequence
solve second order recurrence relations by finding the corresponding generating functions
6.1 INTRODUCTION
Can you guess the next number in the following sequence?
4, 11, 18, …
A fairly intelligent fifth standard girl can answer this question. The child perceives that the successive terms differ by 7, and so she adds 7 to the last term given and gives the answer as 25. Mathematically speaking, the child realizes that the difference between the (n
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