PPT-Arithmetic & Geometric Sequences

4 3 2 1 0 In addition to level 30 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. 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, …. ICS 6D. Prof. Sandy . Irani. Sequences. A sequence is a special case of a function in which the domain is a consecutive set of integers:. For example: a person’s height measured in inches on each birthday. . Section 8.3 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 . 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. 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. . 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. MVP 1.4 Connecting the Dot Date 8/19/19 Copy down the Agenda from the whiteboard No Essential Question. Do the Warm Up. Warm Up: Do 1.4 Ready. #1 Essential Question How do you tell if a sequence is arithmetic? 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, …. 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.