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Digital Logic Design: A Rigorous Approach by Moti Medina, Guy Even

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CHAPTER 3

Sequences and Series

In this chapter, we consider three important types of sequences: arithmetic sequences, geometric sequences, and the harmonic sequence. In an arithmetic sequence, the difference between consecutive elements is constant. In a geometric sequence, the ratio between consecutive elements is constant. The harmonic sequence is simply the sequence (1, images, images, … ).

Given a sequence (x0, x1, … ), we may wish to define a new sequence that consists of the partial sums

The sequence (y0, y1, … ) of partial sums is a series.

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