PPT-ARITHMETIC PROGRESSION If various terms of a sequence are formed by adding a fixed number

For example 5 10 15 20 25 In this each term is obtained by adding 5 to the preceding term except first term The general form of an Arithmetic Progression is a a d a 2d a 3d a n1d. 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.. 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.. Floor function: denotes the greatest integer that is <= x. Ceiling function: denotes the smallest integer that is >=x.. ********Mathematical . def. . in example . 29 on p. . 181. 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. and Geometric Series and Their Sums. Objectives: You should be able to…. . NOTE. The difference between a series and a sequence is that a sequence is a list of terms, where a series is an indicated sum of the terms of sequence.. 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.. 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, …. 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 . 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. 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, …. What type of sequence is this? How do we know?. How can we describe the growth?. How can we be sure that our multiplier is correct?. 5-91.. Thanks to the millions of teens around the world seeking to be just like their math teachers, industry analysts predict that sales of the new πPhone will skyrocket!. 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!.