![]() Therefore, we next develop a formula that can be used to calculate the sum of the first n terms, denoted S n, of any arithmetic sequence. However, consider adding the first 100 positive odd integers. S 5 = Σ n = 1 5 ( 2 n − 1 ) = + + + + = 1 + 3 + 5 + 7 + 9 = 25Īdding 5 positive odd integers, as we have done above, is managable. For example, the sum of the first 5 terms of the sequence defined by a n = 2 n − 1 follows: is the sum of the terms of an arithmetic sequence. In some cases, the first term of an arithmetic sequence may not be given.Īn arithmetic series The sum of the terms of an arithmetic sequence. For example, the following equation with domain a r i t h m e t i c m e a n s a 7 = 3 ( 7 ) − 11 = 21 − 11 = 10 is a function whose domain is a set of consecutive natural numbers beginning with 1. zip file containing this book to use offline, simply click here.Ī sequence A function whose domain is a set of consecutive natural numbers starting with 1. You can browse or download additional books there. ![]() More information is available on this project's attribution page.įor more information on the source of this book, or why it is available for free, please see the project's home page. Additionally, per the publisher's request, their name has been removed in some passages. However, the publisher has asked for the customary Creative Commons attribution to the original publisher, authors, title, and book URI to be removed. Normally, the author and publisher would be credited here. ![]() This content was accessible as of December 29, 2012, and it was downloaded then by Andy Schmitz in an effort to preserve the availability of this book. See the license for more details, but that basically means you can share this book as long as you credit the author (but see below), don't make money from it, and do make it available to everyone else under the same terms. This book is licensed under a Creative Commons by-nc-sa 3.0 license. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |