PPT-Geometric Sequences and Series

Section 83 beginning on page 426 Geometric Sequences In a geometric sequence the ratio of any term to the previous term is constant This constant ratio is called the common ratio and is denoted by . Sequence and Sums. Fall 2011. Sukumar Ghosh. Sequence. A sequence is an . ordered. list of elements. . Examples of Sequence. Examples of Sequence. Examples of Sequence. Not all sequences are arithmetic or geometric sequences.. By: Matt Connor. Fall 2013. Pure Math. Analysis. Calculus and Real Analysis . Sequences. Sequence- A list of numbers or objects in a specific order. 1,3,5,7,9,...... Finite Sequence- contains a finite number of terms. An introduction…………. Arithmetic Sequences. ADD. To get next term. Geometric Sequences. MULTIPLY. To get next term. Arithmetic Series. Sum of Terms. Geometric Series. Sum of Terms. Find the next four terms of –9, -2, 5, …. Informally, a sequence is a set of elements written in a row.. This concept is represented in CS using one-dimensional arrays. The goal of mathematics in general is to identify, prove, and utilize patterns. Series. Find sums of infinite geometric series.. Use mathematical induction to prove statements.. Objectives. infinite geometric series. converge. limit. diverge. mathematical induction. Vocabulary. In Lesson 12-4, you found partial sums of geometric series. You can also find the sums of some infinite geometric series. An . Section 2.4. Section Summary. Sequences.. Examples: Geometric Progression, Arithmetic Progression. Recurrence Relations. Example: Fibonacci Sequence. Summations. Introduction. Sequences are ordered lists of elements. . 4. 3. 2. 1. 0. In addition to level 3.0 and above and beyond what was taught in class,  the student may:. · Make connection with other concepts in math. · Make connection with other content areas.. Chapter 12. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Goals and Objectives. Students will be able to understand how the common difference leads to the next term of an arithmetic sequence, the explicit form for an Arithmetic sequence, and how to use the explicit formula to find missing data.. 1, 1, 2, 3, 5, 8, 13, ….. 1, 4, 9, 16, 25, 36, …. 6, 10, 14, 18, 22, …. 7, 14, 28, 56, ….. . , , , …... Unit 3 Part C:. Arithmetic and Geometric Sequences. F.IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. . CS 2210:0001 Discrete Structures Sequence and Sums Fall 2019 Sukumar Ghosh Sequence A sequence is an ordered list of elements. Examples of Sequence Examples of Sequence Examples of Sequence Not all sequences are arithmetic or geometric sequences. Consider the following sequence . , . , . , . ,…. Each term of this sequence is of the form .  . What happens to these terms as n gets very large? . In general, the . , for all positive r .  . Many sequences have limiting factors. A sequence or progression is an ordered set of numbers which can be generated from a rule.. General sequence terms as denoted as follows. a. 1 . – first term. . , a. 2. – second term, …, a. n. Fall 2011. Sukumar Ghosh. Sequence. A sequence is an . ordered. list of elements. . Examples of Sequence. Examples of Sequence. Examples of Sequence. Not all sequences are arithmetic or geometric sequences..