[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522597-105":59,"doc-detail-522597-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","arithmetic-series-kuta-software-infinite-algebra-2-worksheet","Arithmetic Series - Kuta Software-Infinite Algebra 2 - Worksheet","","Arithmetic Series worksheet from Kuta Software-Infinite Algebra 2 that practices evaluating related arithmetic series and computing sums. Problems include finding the sum of an arithmetic sequence given explicit terms, calculating series defined using sigma notation and variable expressions, and determining the number of terms n when first term a1, common difference d, and/or partial sum Sn are provided. Suitable for guided algebra practice and mastery of arithmetic series formulas and term counting.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/arithmetic-series-kuta-software-infinite-algebra-2-worksheet/522597/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/arithmetic-series-kuta-software-infinite-algebra-2-worksheet/522597.png","ImageObject",300,407,{"name":92,"@type":93},"Riley","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What types of arithmetic series problems are on the worksheet?","Question",{"text":112,"@type":113},"It includes evaluating sums of sequences, evaluating series written in summation form, and determining the number of terms n from given a1, d, or Sn.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do problems define series to evaluate?",{"text":117,"@type":113},"Some problems list the terms directly, while others define the series using expressions such as (5k − 2) or (3i − 13) together with summation notation.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the number of terms n found in the later section?",{"text":121,"@type":113},"The worksheet provides values for a1 and an and/or Sn along with the arithmetic series, requiring solving for n so the sum matches Sn.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522597,1791652164,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},1374391975076,"https://ap-avatar.wpscdn.com/avatar/14000253ca4ec9f6853?x-image-process=image/resize,m_fixed,w_180,h_180&k=1783305029341752051","Kuta Software-Infinite Algebra 2 Name___________________________________  \nArithmetic Series Date________________ Period____  \nEvaluate the related series of each sequence.  \n1) 13, 15, 17, 19, 21, 23 2) 6, 11, 16, 21, 26, 31, 36  \n3) 22, 28, 34, 40, 46 4) 39, 49, 59, 69  \nEvaluate each arithmetic series described.  \n5)  (5k − 2) 6)  (3i − 13)  \nk = 1  \n15  \ni = 1  \n10  \n7) = 1 4m 8) = 1 (7m − 2)  \n9) Σi  1 3i 10) nΣ1 (3n − 9)  \n11) a 1 = 42, an = 146, n = 14 12) a 1 = 4, an = 22, n = 10  \n13) a 1 = 2, an = 122, n = 13 14) a 1 = −18, an = −102, n = 13  \n15) 20 + 27 + 34 + 41..., n = 16 16) 20 + 30 + 40 + 50..., n = 15  \n17) 7 + 9 + 11 + 13..., n = 10 18) 10 + 12 + 14 + 16..., n = 11  \nDetermine the number of terms n in each arithmetic series.  \n19) a 1 = 19, an = 96, Sn = 690 20) a 1 = 16, an = 163, Sn = 4475  \n21) a 1 = 19, an = 118, Sn = 822 22) a 1 = 15, an = 79, Sn = 423  \n23) a 1 = −3, d = 2, Sn = 21 24) a 1 = 4, d = 7, Sn = 228  \n25) (−2) + (−12) + (−22) + (−32) ..., Sn = −224 26) (−16) + (−26) + (−36) + (−46) ..., Sn = −1818  \nKuta Software-Infinite Algebra 2  \nArithmetic Series  \nEvaluate the related series of each sequence.  \n1) 13, 15, 17, 19, 21, 23  \n108  \nName___________________________________  \nDate________________ Period____  \n2) 6, 11, 16, 21, 26, 31, 36  \n147  \n3) 22, 28, 34, 40, 46 170  \n4) 39, 49, 59, 69 216  \nEvaluate each arithmetic series described.  \n5) kΣ1 (5k − 2)  \n3080  \n15  \n7) = 1 4m 480  \n6  \n9) Σi = 1 3i 63  \n6) Σi 51 (3i − 13) 1435  \n8) 1 1 (7m − 2) 365  \n10) nΣ1 (3n − 9) 2700  \n11) a 1 = 42, 1316  \nan = 146, n = 14 12) a 1 = 4, an = 22, n = 10  \n130  \n13) a 1 = 2, an = 122, n = 13 14) a 1 = −18, an = −102, n = 13  \n806 −780  \n15) 20 + 27 + 34 + 41..., n = 16 16) 20 + 30 + 40 + 50..., n = 15  \n1160 1350  \n17) 7 + 9 + 11 + 13..., n = 10 18) 10 + 12 + 14 + 16..., n = 11  \n160 220  \nDetermine the number of terms n in each arithmetic series.  \n19)  \n21)  \n23)  \n25)  \na =  \n1  \n12  \na =  \n1  \n12  \na =  \n1  \n7  \n(−2)  \n7  \n19, a = 96, S = 690 n n  \n19, a = 118, S = 822 n n  \n−3, d = 2, S = 21 n  \n+ (−12) + (−22) + (−32) ..., Sn = −224  \n20) a 1 = 16, an = 163, Sn = 4475 50  \n22) a 1 = 15, an = 79, Sn = 423 9  \n24) a 1 = 4, d = 7, Sn = 228 8  \n26) (−16) + (−26) + (−36) + (−46) ..., Sn = −1818 18  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaitDe9YCIDkgK","https://ap.wps.com/l/cbCaitDe9YCIDkgK","pdf",35489,"English","# Evaluate the related series\n## Evaluate each arithmetic series described\n# Determine the number of terms n in each arithmetic series","[{\"question\":\"What types of arithmetic series problems are on the worksheet?\",\"answer\":\"It includes evaluating sums of sequences, evaluating series written in summation form, and determining the number of terms n from given a1, d, or Sn.\"},{\"question\":\"How do problems define series to evaluate?\",\"answer\":\"Some problems list the terms directly, while others define the series using expressions such as (5k − 2) or (3i − 13) together with summation notation.\"},{\"question\":\"How is the number of terms n found in the later section?\",\"answer\":\"The worksheet provides values for a1 and an and/or Sn along with the arithmetic series, requiring solving for n so the sum matches Sn.\"}]","Arithmetic Series - Kuta Software-Infinite Algebra 2 - Worksheet | PDF",1791425954]