1.3 Finite and infinite series

A review of sequences (discrete signals), sums and series (specific, and possibly infinite, sums). We introduce arithmetic and geometric sequences and consider their finite and infinite series.
Course web site: https://ece.uwaterloo.ca/~ne112/Lectu...

0:00 Introduction
0:46 Definition of a finite sequence, a sum, and sigma notation
2:00 An explanation of Sigma notation (Σ) for sums
5:32 Sums with an arbitrary upper limit of n
6:34 Arithmetic sequences and series
9:40 What is 0 + 1 + 2 + ··· + n?
13:55 Properties of sums
19:09 Geometric sequences and series
20:50 What is the value of a finite geometric series?
24:27 Infinite sequences and series
25:51 Infinite arithmetic series
27:09 Infinite geometric series
28:54 Examples of infinite geometric series
31:33 Take-aways: what you must remember from this topic
32:38 Summary and conclusions

This is part of the course NE 112 Linear algebra for nanotechnology engineering offered by the Department of Electrical and Computer Engineering within the Faculty of Engineering at the University of Waterloo (https://www.uwaterloo.ca/).