[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-452992-105":59,"doc-detail-452992-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","precalculus-practice-test-sections-81-83","Precalculus Practice Test - Sections 8.1-8.3","","Precalculus practice test covering Sections 8.1–8.3, focusing on infinite and finite series and on identifying and working with arithmetic and geometric sequences. The problems include computing sums of infinite series, using sigma notation, finding partial sums, and expressing nth terms from recursive definitions. Additional tasks ask students to determine whether a sequence is arithmetic or geometric, find common differences/ratios, and derive formulas for nth terms, including evaluating specific indicated terms.",{"@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/precalculus-practice-test-sections-81-83/452992/",{"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/precalculus-practice-test-sections-81-83/452992.png","ImageObject",300,407,{"name":92,"@type":93},"SANS","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-19","2026-09-30",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},"What topics are covered in Sections 8.1–8.3?","Question",{"text":112,"@type":113},"The test covers infinite and finite series, sigma notation, and sequence work for both arithmetic and geometric sequences, including finding sums and nth-term formulas.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you write an nth-term expression for a sequence given a recursive rule?",{"text":117,"@type":113},"Use the stated recursive definition and the provided instruction to identify the pattern, then express the nth term as a function of n (with n starting at 1).",{"name":119,"@type":110,"acceptedAnswer":120},"What does it mean to determine whether a sequence is arithmetic or geometric?",{"text":121,"@type":113},"Compute the pattern implied by the sequence terms: arithmetic sequences use a constant common difference, while geometric sequences use a constant common ratio; the test asks for the respective value if the type matches.","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},452992,1791052265,{"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":24,"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":144},962090760505,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Precalculus Practice Test Sections 8.1-8.3  \n1.Find the sum of the infinite series.  \n2.Find the sum.  \n3.  \nGiven the sequence,...,write an expression forthe apparent nth term assuming n begins with 1.  \n4.Use sigma notation to write the sum.  \n5.Find the sum.  \nPrecalculus Practice Test Sections 8.1-8.3  \n6.Write the first five terms of the sequence defined recursively.Use the pattern to writethe nth term of the sequence as a function of n.(Assume that n begins with 1.)  \na₁=-18,ak+1=ak+1  \n7.The first two terms of the arithmetic sequence are given.Find the indicated term.a₁=-5,a2=3,a11=  \n   \n   \n8.Write the nth term of the arithmetic sequence as a function of n.a₁=1,ak+1=ak+2  \n9.Find the partial sum.  \n10.Find a formula for anfor the arithmetic sequence.a₁=2,d=-5  \n11.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1.)an=-8-2n  \nPrecalculus Practice Test Sections 8.1-8.3  \n12.Write the first five terms of the arithmetic sequence.a₁=-8,d=4  \n13.Find the indicated nth term of the geometric sequence.  \n6th term:  \n14.Find the sum of the infinite geometric series.  \n15.Find the sum of the following infinite geometric series.Round your answer to threedecimal places.  \n16.Find the sum of the finite geometric sequence.Round to the nearest thousandth.  \nPrecalculus Practice Test Sections 8.1-8.3  \n17.Use summation notation to write the sum.-4+12-36+...+972  \n18.Find the indicated nth term of the geometric sequence.10th term:-3.-15.-75....  \n19.Determine whether the sequence is geometric.If so,find the common ratio.  \n4.8.16.32....  \n20.Find a formula for the nth term of the following geometric sequence,then find the4th term of the sequence.  \n3,12,48,…  \nPrecalculus Practice Test Sections 8.1-8.3  \n# Answers:\n\n1.  \n-2  \n11.  \n9  \n2.  \n12.-8,-4,0,4,8  \n3.  \n13.  \n14.  \n4.  \n15.10.588  \n5.  \n16.1061.827  \nan=-19+n  \n6.  \n7.   75  \n17.  \nan=-1+2n  \n18.-5,859.375  \n8.  \n9.-20,000  \n19.2  \na=3(4)”⁻¹;a₄=192  \n10.an=7-5n  \n20.","cbCaiaAFpkSE1mEU","https://ap.wps.com/l/cbCaiaAFpkSE1mEU","pdf",141524,"English","# Precalculus Practice Test Sections 8.1-8.3\n## Infinite series and sigma notation\n## Arithmetic sequences: nth term and indicated terms\n## Geometric sequences: nth term and sums","[{\"question\":\"What topics are covered in Sections 8.1–8.3?\",\"answer\":\"The test covers infinite and finite series, sigma notation, and sequence work for both arithmetic and geometric sequences, including finding sums and nth-term formulas.\"},{\"question\":\"How do you write an nth-term expression for a sequence given a recursive rule?\",\"answer\":\"Use the stated recursive definition and the provided instruction to identify the pattern, then express the nth term as a function of n (with n starting at 1).\"},{\"question\":\"What does it mean to determine whether a sequence is arithmetic or geometric?\",\"answer\":\"Compute the pattern implied by the sequence terms: arithmetic sequences use a constant common difference, while geometric sequences use a constant common ratio; the test asks for the respective value if the type matches.\"}]","Precalculus Practice Test - Sections 8.1-8.3 | PDF",1790738022,13]