PPT-In this chapter you have been writing equations for arithmetic sequences so that you

th term directly  Today you will investigate recursive sequences  A term in a recursive sequence depends on the terms before it 571  Look at the following sequence 8 2 4 10 . 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. Part 1. Algebra. Number. Data. Shape. Algebra Mains. Home. Brackets. Two Brackets. Solving Equations. Collecting like terms. Simplifying. 2 sided equations. Simultaneous equations. Solving simultaneous equations graphically. 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, …. 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. These slides can be used as a learning resource for students. . Some answers are broken down into steps for understanding and some are “final answers” that need you to provide your own method for.. 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.. 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 . 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. . 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 Difference. Equations. (5.1) Sequences. (5.2) Limit of a Sequence . (5.3) Discrete Difference Equations. (5.4) Geometric & Arithmetic Sequences. (5.5) Linear Difference Equation with Constant Coefficients (scanned notes). & 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!.