{"title":"序列与系列","authors":"Gordon Wong","doi":"10.1090/clrm/001/05","DOIUrl":null,"url":null,"abstract":"Arithmetic sequences are lists of numbers, where each number is derived by adding to or subtracting from the previous number in the list, such as 1, 4, 7, 10, 13.... The number we add is called the common difference (d). (If we subtract the same number every time, then d is negative.) The nth term in an arithmetic sequence is denoted by an. The sum of the terms in a sequence is called an arithmetic series. The symbol Sn represents the sum of the first n terms in a sequence.","PeriodicalId":252719,"journal":{"name":"Nuggets of Number Theory","volume":"136 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sequences & Series\",\"authors\":\"Gordon Wong\",\"doi\":\"10.1090/clrm/001/05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Arithmetic sequences are lists of numbers, where each number is derived by adding to or subtracting from the previous number in the list, such as 1, 4, 7, 10, 13.... The number we add is called the common difference (d). (If we subtract the same number every time, then d is negative.) The nth term in an arithmetic sequence is denoted by an. The sum of the terms in a sequence is called an arithmetic series. The symbol Sn represents the sum of the first n terms in a sequence.\",\"PeriodicalId\":252719,\"journal\":{\"name\":\"Nuggets of Number Theory\",\"volume\":\"136 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-08-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuggets of Number Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/clrm/001/05\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuggets of Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/clrm/001/05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Arithmetic sequences are lists of numbers, where each number is derived by adding to or subtracting from the previous number in the list, such as 1, 4, 7, 10, 13.... The number we add is called the common difference (d). (If we subtract the same number every time, then d is negative.) The nth term in an arithmetic sequence is denoted by an. The sum of the terms in a sequence is called an arithmetic series. The symbol Sn represents the sum of the first n terms in a sequence.