[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522658-105":59,"doc-detail-522658-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","finite-geometric-series-worksheet-2","Finite Geometric Series - Worksheet 2","","Finite Geometric Series worksheet for Infinite Algebra 2. Students evaluate related series from given sequences, then compute sums for multiple geometric series expressed with summation notation and specific n values. It also includes problems determining the number of terms n from first term a1, common ratio r, and a specified sum Sn. Exercises cover positive and negative ratios, alternating terms, and series defined by explicit patterns.",{"@graph":69,"@context":123},[70,84,106],{"@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/finite-geometric-series-worksheet-2/522658/",{"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/finite-geometric-series-worksheet-2/522658.png","ImageObject",300,407,{"name":92,"@type":93},"Ophelia","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you evaluate a related series from a geometric sequence given in the worksheet?","Question",{"text":113,"@type":114},"Identify the common ratio r from consecutive terms, then apply the finite geometric series approach to find the sum that matches the listed sequence or specified terms.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What inputs are typically given to determine the number of terms n in a geometric series?",{"text":118,"@type":114},"Problems provide the first term a1, the common ratio r, and the target sum Sn, and require solving for n.",{"name":120,"@type":111,"acceptedAnswer":121},"Does the worksheet include geometric series with negative and alternating common ratios?",{"text":122,"@type":114},"Yes. Several problems use negative ratios such as r = −2, r = −3, and r = −6, producing alternating signs in the series terms.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},522658,1791489660,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},7971461741311,"https://ap-avatar.wpscdn.com/avatar/74000253aff267980c6?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779345379180704826","Kuta Software-Infinite Algebra 2 Name___________________________________  \nFinite Geometric Series Date________________ Period____  \nEvaluate the related series of each sequence.  \n1) 2, 12, 72, 432 2) −1, 5, −25, 125  \n3) −2, 6, −18, 54, −162 4) −2, −12, −72, −432, −2592  \nEvaluate each geometric series described.  \n5) k7 1 4k − 1 6) Σi  1 (−6) i − 1  \n7) Σi  1 2 i − 1 8)  1 −2m − 1  \n9) Σ8 2 ⋅ (−2)n − 1 10) Σ9 4 ⋅ 3n − 1  \nn = 1 n = 1  \n11) nΣ1 4 ⋅ (−3)n − 1 12) n9 1 (−2)n − 1  \n13) 1 + 2 + 4 + 8..., n = 6 14) 2 − 10 + 50 − 250..., n = 8  \n15) 1 − 4 + 16 − 64..., n = 9 16) −2 − 6 − 18 − 54..., n = 9  \n17) 1 − 5 + 25 − 125..., n = 7 18) −3 − 6 − 12 − 24..., n = 9  \n19) a 1 = 4, an = 1024, r = −2 20) a 1 = 4, an = 8748, r = 3  \nDetermine the number of terms n in each geometric series.  \n21) a 1 = −2, r = 5, Sn = −62 22) a 1 = 3, r = −3, Sn = −60  \n23) a 1 = −3, r = 4, Sn = −4095 24) a 1 = −3, r = −2, Sn = 63  \n25) −4 + 16 − 64 + 256..., Sn = 52428 26)  1 −2 ⋅ 4 m − 1 = −42  \nKuta Software-Infinite Algebra 2  \nFinite Geometric Series  \nEvaluate the related series of each sequence.  \n1) 2, 12, 72, 432  \n518  \nName___________________________________  \nDate________________ Period____  \n2) −1, 5, −25, 125  \n104  \n3) −2, 6, −18, 54, −162  \n−122  \n4) −2, −12, −72, −432, −2592  \n−3110  \nEvaluate each geometric series described.  \n5) k7 1 4k − 1 5461  \n7) Σi  1 2 i − 1 511  \n8  \n9) n1 2 ⋅ (−2)n − 1  \n−170  \n11) nΣ1 4 ⋅ (−3)n − 1  \n−59048  \n6) Σi  1 (−6) i − 1  \n−239945  \n8)  1 −2m − 1  \n−511  \n10) n9 1 4 ⋅ 3n − 1 39364  \n12) n9 1 (−2)n − 1 171  \n13) 1 + 2 + 4 + 8..., n = 6 14) 2 − 10 + 50 − 250..., n = 8  \n63 −130208  \n15) 1 − 4 + 16 − 64..., n = 9 16) −2 − 6 − 18 − 54..., n = 9  \n52429 −19682  \n17) 1 − 5 + 25 − 125..., n = 7 18) −3 − 6 − 12 − 24..., n = 9  \n13021 −1533  \n19) a 1 = 4, an = 1024, r = −2 20) a 1 = 4, an = 8748, r = 3  \n684 13120  \nDetermine the number of terms n in each geometric series.  \n21) a 1 = −2, r = 5, 3  \n23) a 1 = −3, r = 4, 6  \n25) −4 + 16 − 64 + 8  \nS = −62 n  \nS = −4095 n  \n256..., Sn = 52428  \n22) a 1 = 3, r = −3, Sn = −60 4  \n24) a 1 = −3, r = −2, Sn = 63 6  \n26)  1 −2 ⋅ 4 m − 1 = −42  \n3  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaimpP49BvQLwQ","https://ap.wps.com/l/cbCaimpP49BvQLwQ","pdf",35007,"English","# Evaluate the related series of each sequence\n## Evaluate each geometric series described\n# Determine the number of terms n in each geometric series","[{\"question\":\"How do you evaluate a related series from a geometric sequence given in the worksheet?\",\"answer\":\"Identify the common ratio r from consecutive terms, then apply the finite geometric series approach to find the sum that matches the listed sequence or specified terms.\"},{\"question\":\"What inputs are typically given to determine the number of terms n in a geometric series?\",\"answer\":\"Problems provide the first term a1, the common ratio r, and the target sum Sn, and require solving for n.\"},{\"question\":\"Does the worksheet include geometric series with negative and alternating common ratios?\",\"answer\":\"Yes. Several problems use negative ratios such as r = −2, r = −3, and r = −6, producing alternating signs in the series terms.\"}]","Finite Geometric Series - Worksheet 2 | PDF",1791426028]