PPT-Lesson 3.13 Applications of Arithmetic Sequences

Lesson 313 Applications of Arithmetic Sequences Concept Arithmetic Sequences EQ How do we use arithmetic sequences to solve real world problems FLE2 Vocabulary Arithmetic sequence Common difference. 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.. 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. 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. . 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, …. 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 . 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.. Ben Braun, Joe Rogers. The University of Texas at Austin. November 28, 2012. Why primitive recursive arithmetic?. Primitive recursive arithmetic is consistent.. Many functions over natural numbers are primitive recursive:. 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.