[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522608-105":59,"doc-detail-522608-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","comparing-arithmetic-and-geometric-sequences-worksheet","Comparing Arithmetic and Geometric Sequences - Worksheet","","Practice worksheet for Infinite Algebra 2 focused on classifying sequences. Students examine multiple given sequences and determine whether each one is arithmetic, geometric, or neither. The items include sequences listed by terms as well as explicit formulas involving n, including expressions that produce arithmetic changes or geometric growth/decay. The worksheet emphasizes recognizing patterns in differences or ratios and applying that reasoning consistently across diverse examples.",{"@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/comparing-arithmetic-and-geometric-sequences-worksheet/522608/",{"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/comparing-arithmetic-and-geometric-sequences-worksheet/522608.png","ImageObject",300,407,{"name":92,"@type":93},"Rowan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-12","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the main task on this worksheet?","Question",{"text":112,"@type":113},"For each listed sequence, decide whether it is arithmetic, geometric, or neither.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are answers determined for arithmetic vs. geometric sequences?",{"text":117,"@type":113},"Arithmetic sequences follow a consistent difference between consecutive terms, while geometric sequences follow a consistent ratio between consecutive terms.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the worksheet include sequences written as formulas?",{"text":121,"@type":113},"Yes. Some problems provide explicit expressions involving n, which students use to determine the sequence type.","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},522608,1791732711,{"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":34,"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},1099514067415,"https://ap-avatar.wpscdn.com/avatar/100002539d78ffe74a7?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779092875211072502","Kuta Software-Infinite Algebra 2 Name   \nComparing Arithmetic and Geometric Sequences Date  Period   \nFor each sequence, state if it is arithmetic, geometric, or neither.  \n1) 1, 3, 6, 10, 15, ... 2) 40, 43, 46, 49, 52, ...  \n13   14   16  4) −4 12 −36 108 −324 3) 4, , , 5, , ... , , , , , ...  \n3 3 3  \n5) 4, 16, 36, 64, 100, ... 6) −29, −34, −39, −44, −49, ...  \n7) 1, 5, 25, 125, 625, ... 8) 1, 4, 9, 16, 25, ...  \n9) −34, −26, −18, −10, −2, ... 10) 0, 3, 8, 15, 24, ...  \n11) a = −163 + 200n 12) a = 16 + 3n  \nn n  \n13) an = −4 ⋅ (−3)n − 1 14) a = −  3 +  3  n  \nn 4 2  \n15) an = −43 + 4n 16) an = (2n)2  \n17) a = −43 + 7n nn 18) a = ~~ ~~  \nn 2n  \n19) a = −(−3)n − 1 20) a = 2 ⋅ (−3)n − 1 n n  \n21) an = an − 1 + 6 22) an = nan − 1 a 1 = −17 a 1 = −1  \n23) an = an − 1 ⋅ −5 24) an = an − 1 + 8 a 1 = 4 a 1 = −17  \n2 + an − 1  26) an = an − 1 + 2  \n25) a =  \nn 2 a 1 = 9  \na 1 = −6  \n27) an = an − 1 + 10 28) an = nan − 1  \na 1 = −1 a 1 = 1  \nKuta Software-Infinite Algebra 2 Name   \nComparing Arithmetic and Geometric Sequences Date  Period   \nFor each sequence, state if it is arithmetic, geometric, or neither.  \n1) 1, 3, 6, 10, 15, ... 2) 40, 43, 46, 49, 52, ...  \nNeither Arithmetic  \n3) 4, 133~~ ~~ , 143~~ ~~ , 5, 163~~ ~~ , ...  \nArithmetic  \n5) 4, 16, 36, 64, 100, ...  \nNeither  \n7) 1, 5, 25, 125, 625, ...  \nGeometric  \n9) −34, −26, −18, −10, −2, ...  \nArithmetic  \n11) a = −163 + 200n  \nn  \nArithmetic  \n13) an = −4 ⋅ (−3)n − 1  \nGeometric  \n4) −4, 12, −36, 108, −324, ...  \nGeometric  \n6) −29, −34, −39, −44, −49, ...  \nArithmetic  \n8) 1, 4, 9, 16, 25, ...  \nNeither  \n10) 0, 3, 8, 15, 24, ...  \nNeither  \n12) a = 16 + 3n  \nn  \nArithmetic  \n14) a = −  3 +  3  nn 4 2  \nArithmetic  \n15) an = −43 + 4n 16) an = (2n)2  \nArithmetic Neither  \n17) a = −43 + 7n  n   \nn 18) a =  \nn 2n  \nArithmetic  \nNeither  \n19) a = −(−3)n − 1 20) a = 2 ⋅ (−3)n − 1  \nn n  \nGeometric Geometric  \n21) an = an − 1 + 6 22) an = nan − 1  \na 1 = −17 a 1 = −1  \nArithmetic Neither  \n23) an = an − 1 ⋅ −5 24) an = an − 1 + 8  \na 1 = 4 a 1 = −17  \nGeometric Arithmetic  \n2 + an − 1  26) an = an − 1 + 2  \n25) a =  \nn 2 a 1 = 9  \na 1 = −6 Arithmetic  \nNeither  \n27) an = an − 1 + 10 28) an = nan − 1  \na 1 = −1 a 1 = 1  \nArithmetic Neither  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaioOwrBBOsH1u","https://ap.wps.com/l/cbCaioOwrBBOsH1u","pdf",32561,"English","# Directions\n# Classification of Given Sequences","[{\"question\":\"What is the main task on this worksheet?\",\"answer\":\"For each listed sequence, decide whether it is arithmetic, geometric, or neither.\"},{\"question\":\"How are answers determined for arithmetic vs. geometric sequences?\",\"answer\":\"Arithmetic sequences follow a consistent difference between consecutive terms, while geometric sequences follow a consistent ratio between consecutive terms.\"},{\"question\":\"Does the worksheet include sequences written as formulas?\",\"answer\":\"Yes. Some problems provide explicit expressions involving n, which students use to determine the sequence type.\"}]","Comparing Arithmetic and Geometric Sequences - Worksheet | PDF",1791425965]