PPT-Arithmetic Sequences Sequence is a list of numbers typically with a pattern.

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. 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, …. 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. J, F, M, A, M, J, J, A, S…. S, M, T, W…. 5, 10, 15, 20…. 100, 81, 64, 49…... Lesson 4.1 – Is There a Pattern Here? Page 213. Recognizing, Describing, Representing and Predicting Patterns and Sequences . 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.. 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, …. 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. . 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, …. 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. 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). 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. & 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!.