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 . 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.. 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, …. 8/26/15. Solve:. 1) . . 2) . 3) .  . Review. Have your homework out on your desk (including your triangle).. Textbooks. Write your name in your textbook in the appropriate place on the inside front cover.. Section 8.2 beginning on page 417. Identifying Arithmetic Sequences. In an . arithmetic sequence. , the difference of consecutive terms is constant. This constant difference Is called . common difference. 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.. 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.. 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. Lesson 3.13 Applications of Arithmetic Sequences Concept: Arithmetic Sequences EQ: How do we use arithmetic sequences to solve real world problems? F.LE.2 Vocabulary: Arithmetic sequence, Common difference 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. th. term, directly.  Today you will investigate recursive sequences.  A term in a recursive sequence depends on the term(s) before it.. 5-71..  Look at the following sequence: . –8, –2, 4, 10, …. & 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!.