![]() Make sure you are comfortable with most of these concepts. ![]() This chapter covers basic mathematical concepts that we will use at some point during the course. The topics of this chapter will be briefly covered as they come up. The common ratio of a geometric sequence can be either negative or positive but it cannot be 0. Read as much as possible from this as soon as you can. Here is an example of a geometric sequence is 3, 6, 12, 24, 48. Generalization to $a + (a+s) + (a+2s) + \ldots + b=\fracc_0$ Counting: $1+2+\ldots+(n-1)$ is the number of pairs. Counting: Euler's formula for planar graphs $v-e+f=2$. The idea that counting reveals patterns and determines complexity of things we are dealing with. The sum $1+2+\ldots+n=n(n+1)/2$ using a geometric proof. Example questions and settings that people study and how they relate to above. A non-recursive formula is a formula for a sequence that does not itself depend on any other terms in the sequence. Big ideas: combinatorics, number theory, proofs, set/relations/functions, graph theory. The general topics one might encounter in Discrete Math. ![]() Substitute the common ratio into the recursive formula for geometric sequences and define. The common ratio can be found by dividing the second term by the first term. Write a recursive formula for the following geometric sequence. Each recitation instructor will use these as guide to cover what is appropriate given their recitation schedule.Īctual class notes for Spring 2024 (current offering, based on older lectures here) Using Recursive Formulas for Geometric Sequences. Recitations will be added here on a regular basis. Recitations (Recitation instructors: Shayan, Arezoo, Daniel, Anthony) (No more Navigate approintments, just walk in to Dolciani Math Learning Center on the 7th floor of East building) Tutoring Schedule (mostly done by undergraduate TAs) The team consists of 16 people and one Guinea pig. Any electronic document related to my courses (including pictures of documents you take yourself and any other sort of reproduction) that is accessible online must be on this site under Instructional Team Really ANY website, including within the Hunter College domain. It is ILLEGAL to distribute these documents or post them on ANY third party websites, such as coursehero, chegg, coursicle, studocu, studyblue, brainspace, kahoot, quizizz, reply, quizlet, tutor, stuvia, discord, youtube, facebook, instagram, X (twitter), etc. These document are the property of the author. Extremely Important: All the documents posted on this website, including notes, lectures, and homework assignments, are subject to copyright.
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