Chapter 2

Theory of Sequences

F. A. Izadi

Abstract

In this chapter we discuss sequences which are defined by certain recurrence relations called difference equations. In general, they are divided into two different types; the finite and the infinite sequences. The finite sequences in turn are separated into two different cases; namely the periodic sequences and non-periodic ones. For the solution of a periodic finite sequence, we use finite Fourier series which in this book we refer to as discrete transformation. But to solve the non-periodic finite sequence, it is first necessary to transform it into a periodic sequence which can be done by adding some new equations to the system and then deal with it as a periodic finite sequence. Last section concerned with the solutions of the infinite sequence by using the method of Euler's scheme.

Total Pages: 20-37 (18)

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