[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-55417-en":3,"doc-seo-55417-105":29,"detail-sidebar-cat-0-en-105":94},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":13,"seo_description":14,"update_tm":27,"read_time":28},55417,8796095461610,"Oliver","https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c",2,"Literature","The Fascinating Fibonacci Numbers","The document explains number patterns through simple sequences, then builds to the Fibonacci (Hemachandra) sequence, showing how each term is formed by adding the two preceding numbers. It demonstrates how arithmetic sequences can produce shape patterns, such as a triangular growth formed by dot counts. It also connects Fibonacci numbers to natural forms, describing how petal counts in flowers and plants may correspond to Fibonacci numbers (e.g., 1, 3, 5) using provided example species.","An Makangangalas na Fibonacci Shonali Chinniah  \nHari Kumar Nair  \nMga numero . Arualdaw ta sindang ginagamit. Tanganing magbilang, magsukol, apudan an mga katuod sa saindang telepono, o kaya man aramon kun gurano an sarong bagay. Alagad aram daw nindo na pwedeng magamitan mga numero tanganing maghaman nin patterns—mga heometrikal na porma, disenyong rangoli*, saka iba pa? Aram nindong an mga patterns na numero mahihiling man sa satong kapalibutan? mgadisenyong rangoli*—sarong porma nin pagkurit o pagdisenyo kan mga taga-India.  \nAlagad inot sa gabos, ano an ‘Number Pattern’?  \nAn Number  \nPattern iyo an pagkakasunodsunod nin mganumero kun sain an kada numero kasugpon kan sinusundan nyang numero na may sarosanang paagi.  \nUni an sarong simpleng number pattern: 0,1,2,3,4 .  \n. . Pano konektado ang lambang numero  \nsa kasunod kaini? An kada numero samagkasunod na ini dinadagdagan nin 1 sa sinusundan na numero .  \nUya pa an saro pang number pattern: 14,12,10,8,6 .  \n. . An kada numero sa magkasunod na ini iniinaan nin 2 sa sinusundan na numero .  \nNgunyan para sa medyo dipisil na pattern: 0,1,3,6,10,15 . .. Pàno naggagana an sequence na ini?  \nHilingon ta.  \n0 + 1 = 1  \n1 + 2 = 3  \n3 + 3 = 6  \n6 + 4 = 10 10+ 5 = 15  \nNahiling mo an pattern digdi? Ano dapat an  \nmasunod na numero sa sequence na ini? Tama, 21,huli ta 15+ 6 = 21.  \nNgunyan, gamiton ta giraray an pinag-ulayanta pa sanang ’number pattern’: 1,3,6,10,15 ... , asin hilingon ta kung makakagibo kitang‘shape pattern’ hali igdi. Kaya ta! Igwa nakitang ’shape pattern’ na triangulo na dagosdagos an pagdakula mantang dinadagdagan ta an bilang nin mga tuldok susog sa satong number pattern! An number pattern naginang shape pattern!  \nKun naging interesante yan saimo, oras na para mabisto mo an magayon na number sequence na inaapod na Fibonacci (o Hemachandra) Sequence of numbers. An Fibonacci Sequence of numbers arog kani:  \n0,1,1,2,3,5,8,13,21,34 . .. Kaya mong mahiling an pattern na susugpon sa mga numero? Iyo! Kada numero sa Fibonacci Sequence, ankabilugan kan duwang numero bago saiya. Arog kaini.  \n0+1 = 1  \n1+1 = 2  \n2+1 = 3  \n3+2 = 5  \n5+3 = 8  \n8+5 = 13  \n13+8 = 21  \n21+13= 34  \nNakua mo? Marhay. Ngunyan,  \npara sa talagang interesanteng parte—an pagsugpon sa number pattern na ini sa mga pattern sa natural na palibot.  \nAn bilang nin mga petalyo nin mga burak minsan katakod kan Fibonacci numbers! Kayamong mag-isip nin burak na may 1,3,saka 5 talulot? (Gabos ini Fibonacci numbers.) Uya an pira sa mga halimbawa para matabanganka.  \n1 petalyo-1 . Anthurium; 2. Calla Lilies  \n3 petalyo-3 . Bougainvillea; 4. Clovers  \n5 petalyo-5 . Temple tree; 6. Hibiscus; 7. Jasmine","cbCaiewqkhEtSRFD","https://ap.wps.com/l/cbCaiewqkhEtSRFD","pdf",1084653,1,31,"English","en",105,"# Number Pattern\n## Simple sequences and how they connect\n# Shape Pattern from Number Pattern\n# Fibonacci (Hemachandra) Sequence\n## Adding the two previous numbers\n# Fibonacci in Nature\n## Petal counts and examples","[{\"question\":\"What is a “number pattern” in this document?\",\"answer\":\"A number pattern is a sequence where each number follows in a consistent way from the previous number(s). The document also illustrates patterns by showing how the next term is produced.\"},{\"question\":\"How does the document explain building a Fibonacci sequence?\",\"answer\":\"Each Fibonacci term is created by adding the two numbers directly before it. Starting from 0, 1, the sequence continues as 1, 2, 3, 5, 8, and so on.\"},{\"question\":\"What “shape pattern” does the document connect to number patterns?\",\"answer\":\"It links number patterns to a triangular shape that grows as the dot count increases along the sequence, turning the arithmetic pattern into a visual one.\"},{\"question\":\"Where does the document claim Fibonacci numbers appear in nature?\",\"answer\":\"It states that petal counts in flowers and certain plants can match Fibonacci numbers. Examples include plants associated with 1, 2, 3, 4, 5, 6, and 7 petals in the provided list.\"}]",1783681503,48,{"code":4,"msg":30,"data":31},"ok",{"site_id":24,"language":23,"slug":32,"title":13,"keywords":33,"description":14,"schema_data":34,"social_meta":89,"head_meta":91,"extra_data":93,"updated_unix":27},"the-fascinating-fibonacci-numbers","",{"@graph":35,"@context":88},[36,52,67],{"@type":37,"itemListElement":38},"BreadcrumbList",[39,43,46,49],{"item":40,"name":41,"@type":42,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":44,"name":45,"@type":42,"position":11},"https://docshare.wps.com/document/","Document",{"item":47,"name":12,"@type":42,"position":48},"https://docshare.wps.com/document/literature/",3,{"item":50,"name":13,"@type":42,"position":51},"https://docshare.wps.com/document/the-fascinating-fibonacci-numbers/55417/",4,{"url":50,"name":13,"@type":53,"author":54,"headline":13,"publisher":56,"fileFormat":59,"inLanguage":23,"description":14,"dateModified":60,"datePublished":61,"encodingFormat":59,"isAccessibleForFree":62,"interactionStatistic":63},"DigitalDocument",{"name":9,"@type":55},"Person",{"url":40,"name":57,"@type":58},"DocShare","Organization","application/pdf","2026-07-18","2026-07-10",true,{"@type":64,"interactionType":65,"userInteractionCount":20},"InteractionCounter",{"@type":66},"ViewAction",{"@type":68,"mainEntity":69},"FAQPage",[70,76,80,84],{"name":71,"@type":72,"acceptedAnswer":73},"What is a “number pattern” in this document?","Question",{"text":74,"@type":75},"A number pattern is a sequence where each number follows in a consistent way from the previous number(s). The document also illustrates patterns by showing how the next term is produced.","Answer",{"name":77,"@type":72,"acceptedAnswer":78},"How does the document explain building a Fibonacci sequence?",{"text":79,"@type":75},"Each Fibonacci term is created by adding the two numbers directly before it. Starting from 0, 1, the sequence continues as 1, 2, 3, 5, 8, and so on.",{"name":81,"@type":72,"acceptedAnswer":82},"What “shape pattern” does the document connect to number patterns?",{"text":83,"@type":75},"It links number patterns to a triangular shape that grows as the dot count increases along the sequence, turning the arithmetic pattern into a visual one.",{"name":85,"@type":72,"acceptedAnswer":86},"Where does the document claim Fibonacci numbers appear in nature?",{"text":87,"@type":75},"It states that petal counts in flowers and certain plants can match Fibonacci numbers. Examples include plants associated with 1, 2, 3, 4, 5, 6, and 7 petals in the provided list.","https://schema.org",{"og:url":50,"og:type":90,"og:title":13,"og:site_name":57,"og:description":14},"article",{"robots":92,"canonical":50},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":95},[96,100,103,107,112,117,122,127,132,135,139],{"id":20,"doc_module":4,"doc_module_name":45,"category_name":97,"show_sort_weight":98,"slug":99},"Story & Novel",90,"story-novel",{"id":11,"doc_module":4,"doc_module_name":45,"category_name":12,"show_sort_weight":101,"slug":102},80,"literature",{"id":51,"doc_module":4,"doc_module_name":45,"category_name":104,"show_sort_weight":105,"slug":106},"Exam",70,"exam",{"id":108,"doc_module":4,"doc_module_name":45,"category_name":109,"show_sort_weight":110,"slug":111},5,"Comic",60,"comic",{"id":113,"doc_module":4,"doc_module_name":45,"category_name":114,"show_sort_weight":115,"slug":116},6,"Technology",50,"technology",{"id":118,"doc_module":4,"doc_module_name":45,"category_name":119,"show_sort_weight":120,"slug":121},7,"Healthcare",40,"healthcare",{"id":123,"doc_module":4,"doc_module_name":45,"category_name":124,"show_sort_weight":125,"slug":126},8,"Research & Report",30,"research-report",{"id":128,"doc_module":4,"doc_module_name":45,"category_name":129,"show_sort_weight":130,"slug":131},9,"Religion & Spirituality",20,"religion-spirituality",{"id":130,"doc_module":4,"doc_module_name":45,"category_name":133,"show_sort_weight":130,"slug":134},"World Cup","world-cup",{"id":136,"doc_module":4,"doc_module_name":45,"category_name":137,"show_sort_weight":136,"slug":138},10,"Lifestyle","lifestyle",{"id":140,"doc_module":4,"doc_module_name":45,"category_name":141,"show_sort_weight":108,"slug":142},19,"General","general"]