PPT-Arithmetic Sequences Dr. Shildneck

Arithmetic Sequences An arithmetic sequence is a sequence in which each term after the first differs from the preceding term by a constant amount The difference between consecutive terms is called the . and Circuits. Lecture . 5. Binary Arithmetic. let’s. . look . at the procedures for performing the four basic arithmetic functions: . addition,. subtraction, multiplication, and division. Addition. CSE235 Introduction Sequences Summations Series Sequences Denition AsequenceisafunctionfromasubsetofintegerstoasetS.Weusethenotation(s):fangfang1nfang1n=0fang1n=0Eachaniscalledthen-thtermofthesequenc Def. : A . sequence. is a list of items occurring in a specified order. Items may be numbers, letters, objects, movements, etc.. Def. : A . sequence. is a list of items occurring in a specified order. Items may be numbers, letters, objects, movements, etc.. 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. Unit 1 Day 2. 1/20/16. Solve:. 1) . . 2) . 3) .  . Review. Check Homework. . . Unit 1 . Day 2 1/20/16. Textbooks. Write your name in your textbook in the appropriate place on the inside front cover.. by k . woodard. and k . norman. Arithmetic Sequence. Add or Subtract. . . the . same number . each time. This is called the . common difference. examples. 2, 4, 6, 8, …. . common difference is 2. a. 1 . = 5, d = 12, n = 28. a. 28. = 329. 1. Find the indicated term of the arithmetic sequence.. a. 1 . = 5, d = 12, n = 28. 2. Find the 23. rd. term of the following sequence.. 6, 18, 30, 42, …. 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.. Define . Iterative Patterns. …. Iterative Patterns follow a specific . RULE. .. Examples of Iterative Patterns:. 2, 4, 6, 8, 10, …. 2, 4, 8, 16, 32, …. 96, 92, 88, 84, 80, …. 625, 125, 25, 5, …. 2, 4, 6, 8, . …. The . first term in a sequence is denoted as . a. 1. , . the second term is . a. 2. , . and so on up to the nth term . a. n. .. Each number in the list called a . term. .. a. 1. , a. Formulas booklet page 3. In maths, we call a list of numbers in order a . sequence. .. Each number in a sequence is called a . term. .. 4, 8, 12, 16, 20, 24, 28, 32, . . .. 1. st. term. 6. th. term. & Series. Story Time…. When another famous mathematician was in first grade, his teacher asked the class to add up the numbers one through a hundred (1+2+3 etc., all the way up to 100). . Write out the teacher’s request in summation notation, then find the answer (no calculators!) Try to figure out an efficient way!.