[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522698-105":59,"doc-detail-522698-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","introduction-to-series-infinite-algebra-2-worksheet","Introduction to Series - Infinite Algebra 2 Worksheet","","Worksheet on series in Infinite Algebra 2, guiding students to rewrite given series as explicit sums and then convert expressions into sigma notation. Problems cover a mix of polynomial and indexed terms, including sums using variable bounds (e.g., m and n) and series that expand into consecutive integer sequences. An evaluation section asks students to compute series values, followed by critical thinking tasks comparing expressions and rewriting series to start at a specified index such as x = 0.",{"@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/introduction-to-series-infinite-algebra-2-worksheet/522698/",{"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/introduction-to-series-infinite-algebra-2-worksheet/522698.png","ImageObject",300,407,{"name":92,"@type":93},"\tJames","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you rewrite a given series as a sum?","Question",{"text":112,"@type":113},"Use the series’ pattern and index bounds to express the terms explicitly as an addition of consecutive values.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is sigma notation used for in these problems?",{"text":117,"@type":113},"Sigma notation provides a compact way to represent a sum of many terms using an index and start/end values.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the critical thinking question about equality ask you to do?",{"text":121,"@type":113},"Compare two series to determine whether they are equal and explain the reason, based on their term structure and indexing.","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},522698,1791710631,{"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":44,"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},2336474466412,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2 Name   \nIntroduction to Series Date  Period   \nRewrite each series as a sum.  \n1)  1 (4m2 + 4) 2) k5 1 (30 − k2 )  \n3) n5 1 n 4)  1 (50 − m)  \n5) Σ6 (3a2 − 2) 6) Σ5 ( 100 − m)  \na = 1 m = 1  \n4 9  \n7) = 1 (5m2 + 4) 8) a4 (20 − a2 )  \n9) Σ6  m 2 + 1  10) Σ9 ( 100 − n)  \nm = 1 m n = 4  \n11)  0 m(m + 2) 12) k4 0 ( 100 − k)  \nEvaluate each series.  \n13) n7 1 (40 − n2 ) 14) k5 1 3k  \n15) a7 1 (500 − a) 16) k7 1 (30 − k)  \n17) a5 0 a 18) k4 0 2k  \n19) k6 1 k2 20)  1 3m  \nRewrite each series using sigma notation.  \n21) 1 + 2 + 3 + 4 22) 3 + 9 + 27 + 81 + 243  \n23) 3 + 9 + 27 + 81 24) 1 + 4 + 9 + 16 + 25  \n25) 4 + 8 + 12 + 16  1   2   3   4   5  \n26) + + + + 2 3 4 5 6  \n27) 1 + 12 + 13 + 14 + 15 + 16~~ ~~ 28) 12 + 23 + 34 + 45 + 56 + 67  \nCritical thinking questions:  \n29) Are these equal? Why or why not? 30) Rewrite the following so that it starts at x = 0  \n50 1 70 1 10  \nΣ ~~ ~~ and Σ ~~ ~~ Σ x(x + 1)  \nx = 1 x x = 21 x − 20 x = 7  \nKuta Software-Infinite Algebra 2 Name   \nIntroduction to Series Date  Period   \nRewrite each series as a sum.  \n1)  1 (4m2 + 4)  \n8 + 20 + 40 + 68 + 104  \n3) n5 1 n  \n1 + 2 + 3 + 4 + 5  \n6  \n5) a1 (3a2 − 2)  \n1 + 10 + 25 + 46 + 73 + 106  \n7)  1 (5m2 + 4)  \n9 + 24 + 49 + 84  \n6 m 2 + 1  \n9) Σ ~~ ~~  \nm = 1 m  \n5 10 17 26 37  \n2 + ~~ ~~ + ~~ ~~ + ~~ ~~ + ~~ ~~ + ~~ ~~  \n2 3 4 5 6  \n11)  0 m(m + 2)  \n0 + 3 + 8 + 15 + 24 + 35  \n2) k5 1 (30 − k2 )  \n29 + 26 + 21 + 14 + 5  \n4)  1 (50 − m)  \n49 + 48 + 47 + 46 + 45 + 44  \n6)  1 ( 100 − m)  \n99 + 98 + 97 + 96 + 95  \n8) a9 4 (20 − a2 )  \n4 + (−5) + (−16) + (−29) + (−44) + (−61)  \n10) n9 4 ( 100 − n)  \n96 + 95 + 94 + 93 + 92 + 91  \n12) k4 0 ( 100 − k)  \n100 + 99 + 98 + 97 + 96  \nEvaluate each series.  \n13) n7 1 (40 − n2 ) 140  \n5  \n14) k1 3k 45  \n15) a7 1 (500 − a)  \n3472  \n17) a5 0 a 15  \n19) k6 1 k2 91  \nRewrite each series using sigma notation.  \n21) 1 + 2 + 3 + 4  \nn4 1 n  \n23) 3 + 9 + 27 + 81  \n4  \nn1 3n  \n25) 4 + 8 + 12 + 16  \nk4 1 4k  \n27) 1 + 12 + 13 + 14 + 15 + 16  \n6 1 Σ ~~  ~~a = 1 a  \n16) k7 1 (30 − k) 182  \n18) k4 0 2k 20  \n20)  1 3m 45  \n22) 3 + 9 + 27 + 81 + 243  \n5  \n= 1 3 m  \n24) 1 + 4 + 9 + 16 + 25  \n5  \nk1 k2  \n26) 12 + 23 + 34 + 45 + 56  \n5 a Σ ~~  ~~a = 1 a + 1  \n28) 12 + 23 + 34 + 45 + 56 + 67  \n6 a Σ ~~  ~~a = 1 a + 1  \nCritical thinking questions:  \n29) Are these equal? Why or why not?  \n  1  and   1  x = 1 x x = 21 x − 20  \n30) Rewrite the following so that it starts at x = 0 10  \nx7 x(x + 1)  \nYes. Both are 1 +  1 +  1 +  1 + ··· to 50 terms Σ3 (x + 7)(x + 8)  \n2 3 4 x = 0  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiaepIMekyAkp","https://ap.wps.com/l/cbCaiaepIMekyAkp","pdf",36595,"English","# Rewrite each series as a sum\n# Evaluate each series\n# Rewrite each series using sigma notation\n# Critical thinking questions","[{\"question\":\"How do you rewrite a given series as a sum?\",\"answer\":\"Use the series’ pattern and index bounds to express the terms explicitly as an addition of consecutive values.\"},{\"question\":\"What is sigma notation used for in these problems?\",\"answer\":\"Sigma notation provides a compact way to represent a sum of many terms using an index and start/end values.\"},{\"question\":\"What does the critical thinking question about equality ask you to do?\",\"answer\":\"Compare two series to determine whether they are equal and explain the reason, based on their term structure and indexing.\"}]","Introduction to Series - Infinite Algebra 2 Worksheet | PDF",1791426070]