In this course we will be interested in sequences of a more mathematical nature; mostly we will be interested in sequences of numbers, but occasionally we will find it interesting to consider …

Albert Schueller, Barry Balof, and Mike Wills have contributed additional material. The stylesheet, based on tufte-latex, was designed by Bart Snapp. This textbook was specifically used for a …

While the idea of a sequence of numbers, a1, a2, a3, . . . is straightforward, it is useful to think of a sequence as a function. We have up until now dealt with functions whose domains are the …

These are notes which provide a basic summary of each lecture for Math 226, “Sequences and Series”, taught by the author at Northwestern University. The book used as a reference is the …

The sequence fangn k is called strictly increasing when an < an+1 for all n k. The sequence fangn k is bounded above by the real number b when an b for all n k, and in this case b is called an …

An arithmetic sequence is one where we establish the next number in the sequence by adding (or subtracting) a given number. This number is known as the common difference.

6.0 Introduction and revision to the notion of a sequence, and its related series. You will also have encountered the use of the å notation as a shorthand for writing out series wi a large number …

Apr 4, 2022 · Our nal unit of the class is on sequences and series. For now, this is separate from our previous topics like derivatives, integrals, di erential equations, arc length, etc., though at …

Your textbook may have a slightly di erent version of this written down, but you can always force every geometric series to look like this by rst factoring out the rst term in the series.

We remember the limits of our sequence friends, and most other limits will follow from some rules about convergent sequences. Here are your two best sequence friends.